{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Crossover Range\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For an escort type jammer, the crossover range may be expressed as (Equation 11.18)\n",
    "\n",
    "\\begin{equation}\\label{eq:crossover_escort}\n",
    "    r_c = \\left[ \\frac{P_t\\, G_t^2 \\,\\sigma\\, r_j^2 \\,B_j}{{ERP}\\, \\, G_r \\,4 \\,\\pi \\,B_r \\,L_r}\\right]^{1/4} \\hspace{0.5in} \\text{(m)},\n",
    "\\end{equation}\n",
    "\n",
    "and for a self-screening type jammer (Equation 11.19)\n",
    "\n",
    "\\begin{equation}\\label{eq:crossover_self}\n",
    "    r_c = \\sqrt{\\frac{P_t\\, G_t^2 \\,\\sigma\\, B_j}{{ERP}\\, \\, G_r \\,4 \\,\\pi \\,B_r \\,L_r}} \\hspace{0.5in} \\text{(m)}\n",
    "\\end{equation}\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the jammer effective radiated power (dBW)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "jammer_erp = [10, 40]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import the `linspace` routine from `scipy` to create the jammer ERP array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "jammer_erp_vector = linspace(float(jammer_erp[0]), float(jammer_erp[1]), 1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the peak power (W), antenna gain (dB), target RCS (dBsm), jammer bandwidth (Hz), jammer ERP (dBW), radar bandwidth (Hz), and losses (dB) for a self-screening type jammer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "peak_power = 50e3\n",
    "\n",
    "antenna_gain = 40\n",
    "\n",
    "target_rcs = 3.0\n",
    "\n",
    "jammer_bandwidth = 20e6\n",
    "\n",
    "radar_bandwidth = 15e6\n",
    "\n",
    "losses = 9.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the keyword args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = {'peak_power': peak_power,\n",
    "\n",
    "          'antenna_gain': 10 ** (antenna_gain / 10.0),\n",
    "          \n",
    "          'target_rcs': 10 ** (target_rcs / 10.0),\n",
    "\n",
    "          'jammer_bandwidth': jammer_bandwidth,\n",
    "\n",
    "          'effective_radiated_power': 10 ** (jammer_erp_vector / 10.0),\n",
    "\n",
    "          'radar_bandwidth': radar_bandwidth,\n",
    "\n",
    "          'losses': 10 ** (losses / 10.0)}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import the `crossover_range_selfscreen` routine from countermeasures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.ecm.countermeasures import crossover_range_selfscreen"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the crossover range for a self-screening type jammer (m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "crossover_range = crossover_range_selfscreen(**kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import the `matplotlib` routines for plotting the crossover range for a self-screening type jammer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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a+6X2fqm9T+ruVxLba0mMkdbW1o7fHzSqN/sO7cENT8wnhBDhVNIdOrcXX9TeL7X3S+19Une/ktheS2KMmNnbfn/hEaOZu7KOqXNWRziVdIfO7cUXtfdL7f1Se5/U3a8ktteSGCM1NTVv+/x9+w2hf2051z+ut8Modlu2Fz/U3i+190vtfVJ3v5LYXktijGx5vnJZOsVHDx3J1NmrmLNiU0RTSXdI4rnqkh9q75fa+6X2Pqm7X0lsryUxRlpaWt5x2bmHjKA8neKGJxZ0/0DSbbbWXnxQe7/U3i+190nd/Upiey2JMde3ppwz9h/KXc8vZl198v6AiYiIiIhIsmhJjJFtna/88SNG09yW4Q/PvtnNE0l3SeK56pIfau+X2vul9j6pu19JbK8lMUa2dSh6z0G1HDW+Hzc/uYDmtvZunkq6QxJPQ5D8UHu/1N4vtfdJ3f1KYnstiTGyvT9AnzpqDCs3NXP3jKXdOJF0lyT+y0PyQ+39Unu/1N4ndfcrie21JCbEUeP7MWFQLb+dOo8QQtTjiIiIiIhIkdKSGCPV1dXbvM7MuOjoMcxZWccjr6/qxqmkO2yvvRQ3tfdL7f1Se5/U3a8ktteSGCNtbW3bvf59+w1hUI8Krps6r5smku6yo/ZSvNTeL7X3S+19Une/ktheS2KM7OiNNsvSKT5+xCiemreGlxdv6KappDsk8U1WJT/U3i+190vtfVJ3v5LYXktiwpxzyAhqytNc95iOJoqIiIiISP5pSYyRrpyv3KOilHMOHs4/Xl7GorUN3TCVdIcknqsu+aH2fqm9X2rvk7r7lcT2WhJjJJPJdOl2Hz9iNAbc8MT8wg4k3aar7aX4qL1fau+X2vuk7n4lsb2WxBhpbGzs0u2G9Krk1ElDuOO5RWxoaC3wVNIdutpeio/a+6X2fqm9T+ruVxLba0lMqE8dNYaGlnZue3Zh1KOIiIiIiEgR0ZIYI1VVVV2+7d5DenDU+H7c+MQCmtvaCziVdIedaS/FRe39Unu/1N4ndfcrie21JCbYp44aw6pNzdw9Y2nUo4iIiIiISJHQkhgjDQ0792qlR43vx4RBtfx26jwymVCgqaQ77Gx7KR5q75fa+6X2Pqm7X0lsryUxwcyMi44ew5yVdTw6e1XU44iIiIiISBHQkhgjlZWVO/0179tvCIN6VHDd1HkFmEi6y660l+Kg9n6pvV9q75O6+5XE9loSYySV2vkcZekUFx45iqfmreGlxevzP5R0i11pL8VB7f1Se7/U3id19yuJ7ZM3cRGrr6/fpa87++AR1Jan+fWjb+R5Iukuu9pekk/t/VJ7v9TeJ3X3K4nttSQWgR4VpZx32Ej++cpy5q2qi3ocERERERFJMC2JMVJeXr7LX3vhEaMpLUnxm0f13MQk2p32kmxq75fa+6X2Pqm7X0lsryUxRtLp9C5/bf/acj40ZRh3vbCY5Rua8jiVdIfdaS/JpvZ+qb1fau+TuvuVxPZaEmNkd89XvvjosWQC/O4xHU1MmiSeqy75ofZ+qb1fau+TuvuVxPZaEovI8D5VvG+/wfzh2TdZ39AS9TgiIiIiIpJAWhJjpKysbLe/xyXHjqWhpZ2bn1yYh4mku+SjvSST2vul9n6pvU/q7lcS22tJjJF8/AGaMKgHx08YwE1PzqehpS0PU0l3SOK/PCQ/1N4vtfdL7X1Sd7+S2F5LYozU1eXn7SsuPXYs6xpa+eOzi/Ly/aTw8tVekkft/VJ7v9TeJ3X3K4nttSQWoSmj+nDQqN787rF5tLRloh5HREREREQSREtijOTzUPSlx45j6YYm7p6xJG/fUwoniachSH6ovV9q75fa+6TufiWxvZbEGMnnG20eu2d/Jgyq5dePvkEmE/L2faUwkvgmq5Ifau+X2vul9j6pu19JbK8lMUbyeb6ymXHJsWN5Y1U9D7y6Im/fVwojieeqS36ovV9q75fa+6TufiWxvZbEGAkhv0f8Tpk4mBF9qrj20Tfy/r0lv9THL7X3S+39Unuf1N2vJLbXkhgjpaWlef1+6ZIUFx09hhcXreepeWvy+r0lv/LdXpJD7f1Se7/U3id19yuJ7bUkxkghzlf+wIHD6FdTzrWPvJH37y35k8Rz1SU/1N4vtfdL7X1Sd7+S2F5LYow0NDTk/XtWlJbwiSNH89ic1cxYtD7v31/yoxDtJRnU3i+190vtfVJ3v5LYXktijGQyhXlPw/MPG0nPylKu/vecgnx/2X2Fai/xp/Z+qb1fau+TuvuVxPZaEmMknU4X5PvWlKe58IjRPDRrJTOXbijIz5DdU6j2En9q75fa+6X2Pqm7X0lsryUxRioqKgr2vS84YhS15Wmu+c/cgv0M2XWFbC/xpvZ+qb1fau+TuvuVxPZaEmOkkOcr96ws5WOHj+KfryxnzopNBfs5smuSeK665Ifa+6X2fqm9T+ruVxLba0mMkUKfr3zhkaOpLC3hah1NjJ0knqsu+aH2fqm9X2rvk7r7lcT2WhJjJJUqbI4+1WWcd+hI7n1xKfNX1xf0Z8nOKXR7iS+190vt/VJ7n9TdryS2T97ERayqqqrgP+OTR42mtCTFr3Q0MVa6o73Ek9r7pfZ+qb1P6u5XEttrSYyRpqamgv+MAbUVnHPwCP76whIWrU3e+dHFqjvaSzypvV9q75fa+6TufiWxvZbEGGlra+uWn3PxMWNImfHrR9/olp8nO9Zd7SV+1N4vtfdL7X1Sd7+S2F5LYox01/nKg3tW8oEpw/jTtMUs35C8v9koRkk8V13yQ+39Unu/1N4ndfcrie2TN3ER687zlS85ZiyZEHQ0MSaSeK665Ifa+6X2fqm9T+ruVxLba0mMkebm5m77WcP7VHHG/kO5/dk3WbWp+36ubF13tpd4UXu/1N4vtfdJ3f1KYnstiTHS2trarT/v0uPG0dqe4XePzevWnyvv1N3tJT7U3i+190vtfVJ3v5LYXktijJhZt/680f2qOXXSEG59eiFr61u69WfL23V3e4kPtfdL7f1Se5/U3a8ktteSGCM1NTXd/jMvO24cDS3t3PD4/G7/2fKWKNpLPKi9X2rvl9r7pO5+JbG9lsQYieJ85fEDazll4mBufGI+63Q0MTJJPFdd8kPt/VJ7v9TeJ3X3K4nttSTGSEtLNEva508cT0NrO7/VcxMjE1V7iZ7a+6X2fqm9T+ruVxLba0kU9sgdTbz5yQV6bqKIiIiIiHNaEmMkyvOVP39C9mjidVN1NDEKSTxXXfJD7f1Se7/U3id19yuJ7bUkxkiUh6LHD6zl1P2GcMtTC1hTl7zzppMuiachSH6ovV9q75fa+6TufiWxvZbEGIn6D9DnThhPk44mRiLq9hIdtfdL7f1Se5/U3a8ktteSKB3GDajhtElDuPmpBazapKOJIiIiIiIeaUmMkerq6qhH4HMnjKelLcNvHn0j6lFciUN7iYba+6X2fqm9T+ruVxLba0mMkba2tqhHYEz/Gk7ffyi/f2YhKzc1RT2OG3FoL9FQe7/U3i+190nd/Upiey2JMRKXN9r83PHjaW0P/PoRPTexu8SlvXQ/tfdL7f1Se5/U3a8ktteSKO8wql81Z+w/lNueWcjKjTqaKCIiIiLiiZbEGInT+cqfPX4cbZnArx7RcxO7Q5zaS/dSe7/U3i+190nd/Upiey2JMZLJZKIeocPIvtWcdcBQ/vDsmyzfoKOJhRan9tK91N4vtfdL7X1Sd7+S2F5LYow0NjZGPcLbfPb48WQygV89MjfqUYpe3NpL91F7v9TeL7X3Sd39SmJ7LYmyTcP7VPGBA4fxx2cXsXR98v5wi4iIiIjIztOSGCNVVVVRj/AOlx0/jkDgl/+eE/UoRS2O7aV7qL1fau+X2vuk7n4lsb2WRNmuYb2rOPfgEdw5bTHzV9dHPY6IiIiIiBSYlsQYaWhoiHqErfrM8eMoLTF+9tDsqEcpWnFtL4Wn9n6pvV9q75O6+5XE9loSZYcG1Fbw8SNGc8+LS5m1bGPU44iIiIiISAFpSYyRysrKqEfYpouPHkNNeZofP6CjiYUQ5/ZSWGrvl9r7pfY+qbtfSWyvJTFGUqn45uhVVcZFR43hoVkreOHNdVGPU3Ti3F4KS+39Unu/1N4ndfcrie2TN3ERq6+P9wvDfPzI0fStLuOqB16PepSiE/f2Ujhq75fa+6X2Pqm7X0lsryVRuqymPM2lx43jiblreHLu6qjHERERERGRAtCSGCPl5eVRj7BDHzlkBIN7VvCjB14nhBD1OEUjCe2lMNTeL7X3S+19Une/ktheS2KMpNPpqEfYoYrSEj53wnheeHM9D89aGfU4RSMJ7aUw1N4vtfdL7X1Sd7+S2F5LYowk5XzlDxw4jFF9q7jqgdfJZHQ0MR+S0l7yT+39Unu/1N4ndfcrie21JMpOKy1J8V/v2oPXlm/ivpeXRT2OiIiIiIjkkZbEGCkrK4t6hC47db8hTBhUy08fnE1beybqcRIvSe0lv9TeL7X3S+19Une/ktheS2KMJOkPUCplfOndezJ/dT1/eX5x1OMkXpLaS36pvV9q75fa+6TufiWxvZbEGKmrq4t6hJ1y4l4DmDy8Fz97aA5Nre1Rj5NoSWsv+aP2fqm9X2rvk7r7lcT2WhJll5kZl580gWUbmrj5yQVRjyMiIiIiInmgJTFGkngo+rCxfTluz/5c85+5bGhojXqcxEpie8kPtfdL7f1Se5/U3a8kto/Fkmhmo8zsH2a2zsyWm9nVZpbOXTfZzKabWUPu18mdvs7M7Admtib38QMzs8juyG5K4httAnz1pAlsam7jV4/MjXqUxEpqe9l9au+X2vul9j6pu19JbB+LJRH4FbASGAxMBo4BLjWzMuBu4PdAb+Bm4O7c5QAXAacDk4D9gFOBi7tz8HxK4vnKAHsN7sEZ+w/lxicXsHR9Y9TjJFJS28vuU3u/1N4vtfdJ3f1KYvu4LImjgTtDCE0hhOXAv4B9gGOBNPCzEEJzCOEXgAHH577uY8CPQwiLQwhLgB8DF3T38PkSQnLfmP5L794TgJ8+ODviSZIpye1l96i9X2rvl9r7pO5+JbF9XJbEnwFnm1mVmQ0FTuatRfGl8PZ/si/lLif364udrnux03WJU1paGvUIu2xor0o+dthI/vL8Yl5fvinqcRInye1l96i9X2rvl9r7pO5+JbF9OuoBcqaSPXV0I1BC9rTSvwHfADZscdsNQG3u9zVbXL8BqDEz22KxxMwuyv0Mhg0bRlNTEy0tLbS0tABQXV1NW1sbzc3NHZ9nMhkaG7OnT1ZVVQHQ0NAAQGVlJalUivr6eiB7rnE6ne74vKysjLKyso7Dy2VlZZSXl1NXV0cIgdLSUsrLy2loaCCTyZBOpzEz1q5dSyaTIZVKUVVVRVNTE21tbR2fNzc309raiplRU1NDc3Nzx32oqamJ9D6df+AA/vjsIr5z78v89Iw9SKfTVFRUdNzHJN6nrXUq1H1avXp10d2nYuyU7/tUX19Pa2trUd2nYuxUiPtUX19PW1tbUd2nYuxUiPvU0tJCOp0uqvtUjJ3yfZ+ampoIIRTVfSrGToW4Ty0tLZSVlcXuPm2PRX3408xSwHzgOuAqsovfDcDrwDLgXSGE93a6/b3AIyGEH5vZhtz1z+auOzB3XS3bMWXKlDBt2rSC3J/dsXbtWvr06RP1GLvl2kfe4Af/eo07LjqUQ8b0jXqcxCiG9rJr1N4vtfdL7X1Sd7/i2t7MpocQpmztujicbtoHGAFcnXve4RrgRuC9wExgvy1esXS/3OXkfp3U6bpJna5LnEwmE/UIu+3jR4xiUI8K/u9fryXy/OuoFEN72TVq75fa+6X2Pqm7X0lsH/mSGEJYTfZI4iVmljazXmRfkOYl4BGgHficmZWb2WW5L/t37tdbgC+a2VAzGwJ8CbipG8fPq3Q6Lmf/7rqK0hK++K49eOHN9dw/c3nU4yRGMbSXXaP2fqm9X2rvk7r7lcT2kS+JOWcCJwGrgLlAK/BfIYQWsm9x8VFgPXAhcHrucoDfAPcCLwOvAH/PXZZIFRUVUY+QF2ceMJTxA2r44b9ep609eX9zEoViaS87T+39Unu/1N4ndfcrie1jsSSGEGaEEI4NIfQOIfQLIXwohLAid90LIYQDQwiVIYQDQggvdPq6EEL4agihT+7jq1u+YE2SbH6iatKlS1J89aQJzFtdzx3TFkU9TiIUS3vZeWrvl9r7pfY+qbtfSWwfiyVRspJ4vvK2nLjXAA4a1ZufPTSHhpa2qMeJvWJqLztH7f1Se7/U3id19yuJ7bUkxsiOXoo2ScyMr508gVWbmvndY/OjHif2iqm97By190vt/VJ7n9TdryS2T97ERWzz+6MUiwNH9uHkfQfx60ffYOXGpqjHibViay9dp/Z+qb1fau+TuvuVxPZaEmOkqan4FqmvnTyB1vYMP3lwdtSjxFoxtpeuUXu/1N4vtfdJ3f1KYnstiTHS1lZ8z90b2beajx42ijumLWLWso1RjxNbxdheukbt/VJ7v9TeJ3X3K4nttSTGSBLPV+6Kzx4/jh4VpXzvH7NI8IvPFlSxtpcdU3u/1N4vtfdJ3f1KYvvkTVzEkni+clf0qirjcyeM57E5q3lk9qqox4mlYm0vO6b2fqm9X2rvk7r7lcT2WhJjpLm5OeoRCub8Q0cyqm8V3/v7LNrak/cywIVWzO1l+9TeL7X3S+19Une/ktheS2KMtLa2Rj1CwZSlU3zt5L2Ys7KOPz63KOpxYqeY28v2qb1fau+X2vuk7n4lsb2WxBgxs6hHKKj37DOQg0f14acPzmZTU/IeLIVU7O1l29TeL7X3S+19Une/ktheS2KM1NTURD1CQZkZ33jfXqypb+HaR96IepxYKfb2sm1q75fa+6X2Pqm7X0lsryUxRpJ4vvLO2m9YL06fPITfPT6fxesaoh4nNjy0l61Te7/U3i+190nd/Upiey2JMdLS0hL1CN3iKydNwIAf3f961KPEhpf28k5q75fa+6X2Pqm7X0lsryVRut3QXpV88qjR3D1jKTMWrY96HBERERER6URLYowk8XzlXXXJsePoV1PGd//+KiGEqMeJnKf28nZq75fa+6X2Pqm7X0lsryUxRpJ4KHpX1ZSn+eK79uS5Bev4x8vLox4ncp7ay9upvV9q75fa+6TufiWxvZbEGEniH6Dd8eGDhrPX4B587x+zaGxpj3qcSHlrL29Re7/U3i+190nd/Upiey2JEpmSlPGtU/dmyfpGrps6L+pxREREREQELYmxUl1dHfUI3e7QMX05ZeJgrn10LkvXN0Y9TmQ8tpcstfdL7f1Se5/U3a8ktteSGCNtbW1RjxCJr508gRDg//75WtSjRMZre1F7z9TeL7X3Sd39SmJ7LYkxksQ32syH4X2quPjoMdzz4lKeW7A26nEi4bW9qL1nau+X2vuk7n4lsb2WRImFTx87lsE9K7jynpm0Z/SWGCIiIiIiUdGSGCNJPF85X6rK0nzt5AnMXLqRP09fFPU43c5ze+/U3i+190vtfVJ3v5LYXktijGQymahHiNRpk4YwZWRvfnT/62xsao16nG7lvb1nau+X2vul9j6pu19JbK8lMUYaG/2+uieAmfGtU/dhTX0Lv3x4TtTjdCvv7T1Te7/U3i+190nd/Upiey2JEisTh/XkQwcO58YnFvDGqrqoxxERERERcUdLYoxUVVVFPUIsfPk9e1JRWsJ3/z4r6lG6jdr7pfZ+qb1fau+TuvuVxPZaEiV2+teW87kTxvHv11byn9dXRj2OiIiIiIgrWhJjpKGhIeoRYuOCw0czul813773VZrb2qMep+DU3i+190vt/VJ7n9TdryS215IosVSWTvGtU/dm3up6fvfY/KjHERERERFxQ0tijFRWVkY9Qqwcu+cA3rPPQK7+91yWrE/eq0LtDLX3S+39Unu/1N4ndfcrie21JMZIKqUcW7rifXsTCHznvlejHqWg1N4vtfdL7f1Se5/U3a8ktk/exEWsvr4+6hFiZ1jvKi47bhz/fGU5U2evinqcglF7v9TeL7X3S+19Une/ktheS6LE3qeOHsOovlVcec9MFy9iIyIiIiISJS2JMVJeXh71CLFUni7hytP2Yd7qeq5/vDhfxEbt/VJ7v9TeL7X3Sd39SmJ7LYkxkk6nox4htja/iM0vHy7OF7FRe7/U3i+190vtfVJ3v5LYXktijCTxfOXutPlFbL779+J7ERu190vt/VJ7v9TeJ3X3K4nttSRKYmx+EZt/vFzcL2IjIiIiIhIlLYkxUlZWFvUIsVesL2Kj9n6pvV9q75fa+6TufiWxvZbEGEniH6DuVqwvYqP2fqm9X2rvl9r7pO5+JbG9lsQYqauri3qERDh2zwG8e+/iehEbtfdL7f1Se7/U3id19yuJ7bUkSiJ989Tsi9hcec/MqEcRERERESkqWhJjJImHoqMyrHcVnz9hDx58dQUPzFwe9Ti7Te39Unu/1N4vtfdJ3f1KYnstiTGSxDfajNInjxrNngNrufKemdQ3t0U9zm5Re7/U3i+190vtfVJ3v5LYXktijCTxfOUolZak+N6Z+7J0QxM/e2h21OPsFrX3S+39Unu/1N4ndfcrie21JMZICCHqERLnwJF9OOfg4dzwxAJeXbox6nF2mdr7pfZ+qb1fau+TuvuVxPZaEmOktLQ06hES6fKTJtCrspT/99eXac8k70EIau+Z2vul9n6pvU/q7lcS22tJjJEknq8cB72qyvjG+/ZixqL13P7sm1GPs0vU3i+190vt/VJ7n9TdryS215IYIw0NDVGPkFinTx7K4WP78oN/vcbKTU1Rj7PT1N4vtfdL7f1Se5/U3a8ktteSGCOZTCbqERLLzPj26fvS3JrhO/fNinqcnab2fqm9X2rvl9r7pO5+JbG9lsQYSafTUY+QaGP713DJsWO558WlTJ29Kupxdora+6X2fqm9X2rvk7r7lcT2WhJjpKKiIuoREu+SY8cyul81V9z9Ck2t7VGP02Vq75fa+6X2fqm9T+ruVxLba0mMkSSerxw3FaUlfOf0fVm4poFr/jM36nG6TO39Unu/1N4vtfdJ3f1KYnstiTGSxPOV4+iIcf04Y/+h/PrRN5i9YlPU43SJ2vul9n6pvV9q75O6+5XE9loSYySVUo58+cYpe1FTnubyv7yUiPdOVHu/1N4vtfdL7X1Sd7+S2D55ExexqqqqqEcoGn1ryvnmqXvzwpvrufWpBVGPs0Nq75fa+6X2fqm9T+ruVxLba0mMkaam5L2/X5ydPnkox+zRnx/e/zqL18X7XHC190vt/VJ7v9TeJ3X3K4nttSTGSFtbW9QjFBUz47tn7AvAN/72CiHE97RTtfdL7f1Se7/U3id19yuJ7bUkxkgSz1eOu2G9q/jKe/bkkddXcfeMpVGPs01q75fa+6X2fqm9T+ruVxLbJ2/iIpbE85WT4KOHjWLy8F78z70zWVPXHPU4W6X2fqm9X2rvl9r7pO5+JbG9lsQYaW6O5wKTdCUp44cf2I+65ja+fd+rUY+zVWrvl9r7pfZ+qb1P6u5XEttrSYyR1tbWqEcoWnsMrOWSY8fxtxlL+c/rK6Me5x3U3i+190vt/VJ7n9TdryS215IYI2YW9QhF7TPHjWXcgBq+8ddXqGuO1xOI1d4vtfdL7f1Se5/U3a8ktteSGCM1NTVRj1DUytMl/OCs/Vi6oZGr7n896nHeRu39Unu/1N4vtfdJ3f1KYnstiTGSxPOVk+bAkb356KEjufmpBUxfuC7qcTqovV9q75fa+6X2Pqm7X0lsryUxRlpaWqIewYWvnDSBIT0r+eqfX6SptT3qcQC190zt/VJ7v9TeJ3X3K4nttSSKOzXlab5/5kTeWFXPzx6aE/U4IiIiIiKxoiUxRpJ4vnJSHb1Hf84+aDjXTX2DGYvWRz2O2jum9n6pvV9q75O6+5XE9loSYySJh6KT7L9P2YtBPSr48p+iP+1U7f1Se7/U3i+190nd/Upiey2JMZLEP0BJVltRyvfP2o+5K+v4+cPRnnaq9n6pvV9q75fa+6TufiWxvZZEce2YPfrz4SnD+c2jb/BiDE47FRERERGJmpbEGKmuro56BJf++317MTB32mlzWzSnnaq9X2rvl9r7pfY+qbtfSWyvJTFG2traoh7BpR4VpXzvzInMWVnHLyI67VTt/VJ7v9TeL7X3Sd39SmJ7LYkxksQ32iwWx+05gA9NGcavH53HS4vXd/vPV3u/1N4vtfdL7X1Sd7+S2F5LokjOf5+yN/1ryiM97VREREREJGpaEmMkiecrF5OelaV8/8yJzF5Rxy8fntutP1vt/VJ7v9TeL7X3Sd39SmJ7LYkxkslkoh7BveMmDOADBw7j2m5+tVO190vt/VJ7v9TeJ3X3K4ntd7gkmtkBZnaFmf3ZzB7K/XqFmU3pjgE9aWxsjHoEAa54394MqC3nv+6cQVNr95x2qvZ+qb1fau+X2vuk7n4lsf02l0Qze4+ZTQNuB4YDTwB/zP06HLjNzKaZ2UndMqlIN+lZWcqPPjCJeavq+cG/Xot6HBERERGRbpXeznWfAi4JITy3rRuY2UHA5cC/8j2YR1VVVVGPIDlHju/HBYeP4sYnFnDiXgM5Yly/gv48tfdL7f1Se7/U3id19yuJ7bd5JDGE8IHtLYi52zwXQvhA/scSid7lJ01gTP9qvvynF9nQ2Br1OCIiIiIi3WKnXrjGzHqY2ZDOH4UazKOGhoaoR5BOKstK+MmHJrNyUzP/c+/Mgv4stfdL7f1Se7/U3id19yuJ7bu0JJrZiWY2D1gHLO70saiAs4lEbvLwXnzmuHHc9fwS/vXKsqjHEREREREpuK4eSbwe+B7QEyjt9FFWoLlcqqysjHoE2YrPHj+OiUN78v/++gorNzUV5GeovV9q75fa+6X2Pqm7X0ls39UlsQK4MYRQF0Jo7/xRyOG8SaX0tpVxVFqS4qcfnkRdcxv/766XCSHk/WeovV9q75fa+6X2Pqm7X0ls39WJfwp81cyskMN4V19fH/UIsg3jBtRy+UkTeGjWSv40bXHev7/a+6X2fqm9X2rvk7r7lcT2XV0S/0L2LTE2mNm8zh8FnE0kVj5++CgOHdOH/7l3JovWJu8JyCIiIiIiXdHVJfHPwGPAuWSXxc4fkifl5eVRjyDbkUoZV31wEikzvnTni7Rn8nfaqdr7pfZ+qb1fau+TuvuVxPbpLt5uNLB/CCFTyGG8S6e7mkOiMqx3Ff/z/n344p0vcu0jc7ns+PF5+b5q75fa+6X2fqm9T+ruVxLbd/VI4t3A8YUcRJJ5vrJHZ+w/lFMnDeGnD81hxqL1efmeau+X2vul9n6pvU/q7lcS23d1SSwH7jGz+83sls4fhRxOJI7MjO+cvi+DelTw+T++QH1zW9QjiYiIiIjkTVeXxJnAD4AngTe2+JA8KSvT204mRc/KUn764cksWtvAlffM3O3vp/Z+qb1fau+X2vuk7n4lsX2XTpANIfxPoQcBMLOzgW8BI4DlwAUhhMfM7ATgmtzlz+QuX5j7mnLgWuADQAPwwxDCT7pj3nxL4h8gzw4e3YfPHDeOX/57LsfuOYBT9hu8y99L7f1Se7/U3i+190nd/Upi+20eSTSzSV35Bl29XRe+z7vIHq38OFALHA3MM7N+wF3AFUAfYBpwR6cvvRIYD4wEjiP7fo4n5WOm7lZXVxf1CLKTPnfCeCYP78XX73qJpesbd/n7qL1fau+X2vul9j6pu19JbL+9002vMbN/mNk5Zjak8xVmNtjMzjazfwBX52mW/wH+N4TwdAghE0JYEkJYApwJzAwh/CmE0ER2KZxkZhNyX/cx4NshhHUhhFnAb4EL8jSTyHaVlqT4+dmTac8E/uuOGXl9WwwRERERkShsc0kMIRwJ/Ar4CDDXzDaZ2VIz2wTMAc4Grg4hHLW7Q5hZCTAF6G9mc81ssZldbWaVwD7Ai53mqif7XMh9zKw3MLjz9bnf77O7M0UhiYeiBUb2rebK0/bhmflruW7qvF36Hmrvl9r7pfZ+qb1P6u5XEttv9zmJIYT7gPvMrJTsKZ29gHXA3BBCax7nGAiUkn1e4VFAK9m33fgGUAOs2uL2G8ieklrT6fMtr3sbM7sIuAhg2LBhNDU10dLSQktLCwDV1dW0tbXR3Nzc8Xkmk6GxMXsKYVVVFQANDQ0AVFZWkkqlOl7Stry8nHQ63fF5WVkZZWVlHYeXy8rKKC8vp66ujhACpaWllJeX09DQQCaTIZ1Ok0qlWLt2LZlMhlQqRVVVFU1NTbS1tXV83tzcTGtrK2ZGTU0Nzc3NHfehpqYmdvepoqKi4/Nivk8njq3hXXv24ccPvM6U4bXs0a98p+5Ta2srq1evjtV9KsZOcb1PLS0tRXefirFTvu9TfX09ra2tRXWfirFTIe5TS0sLJSUlRXWfirFTvu9TU1MTmUymqO5TMXYqxH1qaWmhtLQ0dvdpeyyE6E+Pyx0RXEv2BWluzl12FtklcSpQGkK4tNPtXyZ72um/c183MISwstPXXRlCmLitnzdlypQwbdq0At2bXbdmzRr69u0b9RiyizY0tHLyz6dSXlrCfZ89kuryrr9xqtr7pfZ+qb1fau+TuvsV1/ZmNj2EMGVr13X1LTAKKoSwDlgMdN5YN/9+JtDx4jhmVg2MJfs8xXXAss7X536/++9JEIE4LOyy63pWlfKTD09mwZr6nX5bDLX3S+39Unu/1N4ndfcrie1jsSTm3Ah81swG5I4s/hdwH/BXYF8zO8vMKoBvAi+FEF7Lfd0twDfMrHfuxWw+BdzU/ePvvtLS0qhHkN106Ji+fPa4cfxp+mL+9sKSLn+d2vul9n6pvV9q75O6+5XE9nFaEr8NPAfMBmYBLwDfDSGsAs4Cvkv2+ZCHkH3RnM2+RfaFbBYCjwI/CiH8qxvnzpvy8vKoR5A8+NwJ4zl4VB/++68vM391fZe+Ru39Unu/1N4vtfdJ3f1KYvudWhLNbLiZHVqIQUIIrSGES0MIvUIIg0IIn8u95QUhhIdCCBNCCJUhhGNDCAs6fV1zCOHCEEKPEMLAEMJPCjFfd9j8RFVJtnRJip+fM5mydIrL/vA8zW3tO/watfdL7f1Se7/U3id19yuJ7bu0JJrZCDN7AngNeCh32QfM7HeFHM6bTCYT9QiSJ4N7VnLVBycxc+lGvv+P13Z4e7X3S+39Unu/1N4ndfcrie27eiTxN8Dfyb61xOa3vngQeFchhvIqne76q2FK/J2w10AuPGI0Nz25gPtnLt/ubdXeL7X3S+39Unuf1N2vJLbv6pJ4MPB/IYQMuVcdDSFsAHoWajCPKioqoh5B8uzyk/dk4tCefPXPL7FkfeM2b6f2fqm9X2rvl9r7pO5+JbF9V5fEFcC4zheY2d7Am3mfyLEknq8s21eeLuHqc/enPRP43O0v0Nq+9dMN1N4vtfdL7f1Se5/U3a8ktu/qkngVcJ+ZfRxIm9k5wB3ADwo2mUNJPF9Zdmxk32q+d+ZEpi9cx88emr3V26i9X2rvl9r7pfY+qbtfSWzfpRNkQwg3mNka4GJgEfAx4IoQwt8KOJs7qVSc3pFE8um0SUN4Ys5qfvXIGxw2ph9Hju/3tuvV3i+190vt/VJ7n9TdryS27/LEIYS7QwjvDSHsE0I4SQti/lVVVUU9ghTQlaftw7j+NXzhjhdYubHpbdepvV9q75fa+6X2Pqm7X0ls39W3wLhwGx8fMbNjzCx57xAZQ01NTTu+kSRWZVkJ13zkAOqb27ns9hdo6/T8RLX3S+39Unu/1N4ndfcrie27+nqsHwUOI/sCNouBYcBAYBowCsDM3h9CmFaAGd1oa2uLegQpsD0G1vLdM/bli3e+yI8fnM3lJ00A1N4ztfdL7f1Se5/U3a8ktu/q6aYzga+EEEaEEA4PIYwAvgS8QHZhvBb4ZYFmdCOJ5yvLzjvzgGGcc/AIrn3kDR6etQJQe8/U3i+190vtfVJ3v5LYvqsTnwtcvcVl1wIfCSEE4EfA3vkczKMknq8su+Zbp+7NPkN68F93zGDR2ga1d0zt/VJ7v9TeJ3X3K4ntd+Z9Ek/d4rJTgJW531cArfkayqvm5uaoR5BuUlFawrUfOZAAfOYPz7OpvjHqkSQietz7pfZ+qb1P6u5XEtt3dUn8HHCLmT1hZn80syeAW4HP5q4/BJ1uuttaW7VnezKibxU//uAkXlq8gR8+ODfqcSQietz7pfZ+qb1P6u5XEtt3aUkMITwAjAF+TfZ5iL8BxuQuJ4TwQAjhfwo2pRNmFvUI0s3evc8gLjp6DH+asZK7ZyyJehyJgB73fqm9X2rvk7r7lcT2XX11U0IIa8gePZQCqampiXoEicBX3rMn0xes5et3vcw+Q3owbkBt1CNJN9Lj3i+190vtfVJ3v5LYvqvvkzjazP5gZq+a2ZudPwo9oCdJPF9Zdl9pSYr/e/8eVJaWcMnvn6ehJXkvkyy7To97v9TeL7X3Sd39SmL7rj4n8Q9AhuzbXpy/xYfkSUtLS9QjSER6lxu/OGd/5q6q42t/eZnsiwaLB3rc+6X2fqm9T+ruVxLbd/V0032AI0IImUIOI+LZEeP68eV378mP7n+dycN7ceGRo6MeSUREREQc6uqRxKnA/oUcRJJ5vrLkx+b2lxwzlnfvPZDv/mMWT89bE/FU0h30uPdL7f1Se5/U3a8ktu/qkrgA+JeZXWdm/9v5o4CzuZPEQ9GSH5vbp1LGjz80iZF9q7jsD8+zbIPeP7HY6XHvl9r7pfY+qbtfSWzf1SWxGrgPKAWGb/EheZLEP0CSH53b11aUct35B9LY0s4lv3+e5rb2CCeTQtPj3i+190vtfVJ3v5LYvkvPSQwhfLzQg4jIW8YNqOXHH5rEp3//PFfe8yrfP3Ni1COJiIiIiBNdPZIIgJnV5t4OY8zmj0IN5lF1dXXUI0hEttb+pH0Hc8mxY7n92Tf547N6t5lipce9X2rvl9r7pO5+JbF9l44kmtnewG3AJCAAlvsVoKQwo/nT1qb3x/NqW+2//O49eWXJBr5590wmDO7B5OG9uncwKTg97v1Se7/U3id19yuJ7bt6JPFXwH+APsBGoDfwG+BjBZrLpSS+0abkx7bal6SMX5y9PwN6lHPJ76ezuk5/RoqNHvd+qb1fau+TuvuVxPZdXRInAZeHENYDFkLYAHwF+HahBhORrN7VZfz6vANZW9/CZX94ntZ2vV2piIiIiBROV5fEJrKvbAqw2sxG5L62b0GmciqJ5ytLfuyo/b5De/L9Myfy9Ly1fPfvs7ppKukOetz7pfZ+qb1P6u5XEtt3dUl8DPhQ7vd/Bv4JPAr8uxBDeZXJ6AiRV11pf+YBw/jEkaO56ckFeiGbIqLHvV9q75fa+6TufiWxfVffAuNDnT79f8BMoAa4uRBDedXY2JjIv2mQ3dfV9l8/eQKzV2ziirtfYeyAGg4a1acbppNC0uPeL7X3S+19Une/kth+p94CAyCEkAkh3ApcD+j9E0W6UbokxdXnHMCw3lVc8vvpLFnfGPVIIiIiIlJkdrgkmtkJZvYlM3t/7vO0mX0OmA98utADelJVVRX1CBKRnWnfs6qU3370QJpbM1x0yzQaW9oLOJkUmh73fqm9X2rvk7r7lcT2210Szexy4G6yz0e8zcx+CDwJfBC4KIQwsfAjisiWxg2o5Rfn7M+ryzby5T+/SAhhx18kIiIiItIFOzqSeDFwTAjhEOBE4EvAH0IIR4UQ/l7w6ZxpaGiIegSJyK60P27CAC4/aQJ/f2kZ1/xnbgGmku6gx71fau+X2vuk7n4lsf2OlsR+IYTpACGEp4Fm4OcFn0pEuuTio8dw+uQhXPXAbB6YuTzqcURERESkCHTlOYlmZikzKyH7fonkPk+Z2U6/8I1sW2VlZdQjSER2tb2Z8X9n7cd+w3ryX3fM4PXlm/I8mRSaHvd+qb1fau+TuvuVxPY7WvJqgDagFWgBenX6fPOvkieplHZur3anfUVpCdedP4Wq8jSfvOU51tQ153EyKTQ97v1Se7/U3id19yuJ7Xc08WhgTKeP0Vv5veRJfX191CNIRHa3/aCeFfz2o1NYubGZi2+dTlOrXvE0KfS490vt/VJ7n9TdryS23+6SGEJYuKOP7hpURLZv8vBe/ORDk5m2cB2X/+UlveKpiIiIiOyS5B37LGLl5eVRjyARyVf7U/YbzJffvQd3z1jKLx7WK54mgR73fqm9X2rvk7r7lcT26agHkLek08rhVT7bf+a4ccxbXc9PH5rN6P7VnDZpSN6+t+SfHvd+qb1fau+TuvuVxPY6khgjSTxfWfIjn+3NjO+fOZGDR/Xhy396kekL1+Xte0v+6XHvl9r7pfY+qbtfSWzflbfAKDGzN8wsecdJRZwqT5fw6/MPZHDPCi66ZRqL1ibvTVxFREREJBo7XBJDCO1AO1BR+HF8Kysri3oEiUgh2vepLuOGCw6itT3DhTc9x8YmvWNNHOlx75fa+6X2Pqm7X0ls39XTTX8G3Glmx5jZWDMbs/mjgLO5k8Q/QJIfhWo/tn8Nvz7vQOavrucztz1PW3umID9Hdp0e936pvV9q75O6+5XE9l1dEq8G3gX8B5gDzM19zCnQXC7V1dVFPYJEpJDtDx/Xj++cvi+PzVnNlffO1FtjxIwe936pvV9q75O6+5XE9l16qZ0Qgl7gRiTBzj54BPNX1/ObqfMY2aeaTx2tkwBEREREZOt26vVYzWw4MDSE8HSB5nEtiYeiJT+6o/3lJ01g0boGvvuPWQzqWcGpemuMWNDj3i+190vtfVJ3v5LYvktHCM1shJk9AbwGPJS77ANm9rtCDudNEt9oU/KjO9qnUsZPPjSZg0b15kt3vsgz89YU/GfKjulx75fa+6X2Pqm7X0ls39XTSH8D/B2oBTa/ROKDZJ+nKHmSxPOVJT+6q31FaQm//egUhvep5FO3TGPOik3d8nNl2/S490vt/VJ7n9TdryS27+qSeDDwfyGEDBAAQggbgJ6FGswjvaCIX93ZvldVGTd9/GDK0iVccONzrNzY1G0/W95Jj3u/1N4vtfdJ3f1KYvuuLokrgHGdLzCzvYE38z6RY6WlpVGPIBHp7vbD+1Rx4wUHsa6hhY/f9Bx1zW3d+vPlLXrc+6X2fqm9T+ruVxLbd3VJvAq4z8w+DqTN7BzgDuAHBZvMoSSeryz5EUX7icN6cs1HDuC15Zu49LbnadV7KEZCj3u/1N4vtfdJ3f1KYvsuLYkhhBuArwAfBBYBHwWuCCHcVsDZ3GloaIh6BIlIVO2P23MA3ztjX6bOXsV///XlRJ4OkXR63Pul9n6pvU/q7lcS23fpLTDMrCSEcDdwd4HncS2T0ZEcr6Js/+GDRrBkfRO/eHgOQ3pV8oUT94hsFo/0uPdL7f1Se5/U3a8ktu/q6abLzexXZnZEQadxLp3eqbetlCISdfv/OnE8HzhwGD97aA53PKenGnenqNtLdNTeL7X3Sd39SmL7ri6J7wbqgNvNbL6Zfd/MJhZwLpcqKiqiHkEiEnV7M+P7Z07k6D368/W7XuaBmcsjnceTqNtLdNTeL7X3Sd39SmL7rj4n8YUQwldDCCOAC4DewL/N7KVCDudNEs9XlvyIQ/vSkhTXfuQA9hvWi8tuf4Fn5q2JeiQX4tBeoqH2fqm9T+ruVxLbd/VIYmevAbPIvv3FqLxO41wSz1eW/IhL++ryNDdecBAj+lTxyZunMXPphqhHKnpxaS/dT+39Unuf1N2vJLbv0pJoZr3M7BNm9jAwDziW7NtfDCjgbO6kUruys0sxiFP73tVl3HLhwdRWpPnYDc+xcE191CMVtTi1l+6l9n6pvU/q7lcS23d14qXAOcAfgKEhhDNCCHeGEJoKN5o/VVVVUY8gEYlb+yG9KrnlE4fQnslw/vXPsnKjHuqFErf20n3U3i+190nd/Upi+64uiWNDCCeGEK4PIawv5ECeNTXpf8S9imP7cQNquPHjB7O6rpmP3fgcGxpbox6pKMWxvXQPtfdL7X1Sd7+S2L6rL1yzzMyONbMbzOz+3K/HFXo4b9ra2qIeQSIS1/aTh/fiN+cfyNyVm/jULdNoam2PeqSiE9f2Unhq75fa+6TufiWxfVefk/hJ4E5gOXAXsIzs22F8qoCzuZPE85UlP+Lc/qjx/fnJhybz3IK1XPaHF2hrT96Tr+Mszu2lsNTeL7X3Sd39SmL7rr6z41eBd4UQXtx8gZndAfwF+G0hBvMoiecrS37Evf2pk4awvqGFK+6eydfvepkfnLUfqZRFPVZRiHt7KRy190vtfVJ3v5LYvqtrbV/g1S0uex3ok99xfGtubo56BIlIEtqff9govnDieP40fTH/e9+rhBCiHqkoJKG9FIba+6X2Pqm7X0ls39UjiY8DPzGzy0MIDWZWDXwfeLJwo/nT2qoXBvEqKe0/f8J4NjW1cf3j86kpT/Pl9+wZ9UiJl5T2kn9q75fa+6TufiWxfVeXxE8DdwAbzGwt2SOIT5J9WwzJEzOdvudVUtqbGd84ZS8aWtq4+j9zqSov4dJjx0U9VqIlpb3kn9r7pfY+qbtfSWzfpSUxhLAMONrMhgFDgKUhhMUFncyhmpqaqEeQiCSpvZnxndMn0tDSzg//9TrVZWk+dvioqMdKrCS1l/xSe7/U3id19yuJ7bv66qb9zawmtxhOB95lZh81s+S9VE+MJfF8ZcmPpLUvSRlXfXAS79p7IN+6ZyZ/mrYo6pESK2ntJX/U3i+190nd/Upi+64uefcB43O//y7wZeCLwI8LMZRXLS0tUY8gEUli+9KSFFefuz9Hje/H5X95ib+/tCzqkRIpie0lP9TeL7X3Sd39SmL7ri6JewAzcr8/DzgZOB44uwAziUhClKdLuO78KRw4sjef/+ML/Pu1FVGPJCIiIiK7qatLYjtQZmYTgQ0hhDeB9UDyTrCNsSSeryz5keT2lWUlXH/BQew1uAef/v3zPDl3ddQjJUqS28vuUXu/1N4ndfcrie27uiT+E7gTuBb4Y+6yvYElhRjKqyQeipb8SHr7HhWl3HLhwYzuW80nb5nGtAVrox4pMZLeXnad2vul9j6pu19JbN/VJfGTwN+B68m+PyJAP+DKAszkVhL/AEl+FEP73tVl3PrJgxnYo4ILbnyO599cF/VIiVAM7WXXqL1fau+TuvuVxPZdWhJDCM0hhOtCCDeGENrMrBJ4KoTwxx1+sYi4MaC2gts/dSj9asr42PXPMmPR+qhHEhEREZGd1NW3wLjKzA7O/f4UYC2wzsxOLeRw3lRXV0c9gkSkmNoP6lnB7RcdSu/qMs6//hleWrw+6pFirZjay85Re7/U3id19yuJ7bt6uulHgFdyv/8m2Vc4PQ34XiGG8qqtrS3qESQixdZ+cM9Kbr/oUHpVlXLe757hlSUboh4ptoqtvXSd2vul9j6pu19JbN/VJbEqhNBgZn2BMSGEv4QQHgJGFnA2d5L4RpuSH8XYfmivSm7/1KHUVpTyES2K21SM7aVr1N4vtfdJ3f1KYvuuLomzzewjwGXAgwBm1g9oLNRgIpJ8w3pX8ceLDqWmPM151z/Dq0s3Rj2SiIiIiOxAV5fES4HPAMcDV+Quew/wQCGG8iqJ5ytLfhRz++F9qrj9U4dSWVrCedc/w+vLN0U9UqwUc3vZPrX3S+19Une/kti+q69u+lwI4fAQwjEhhDdyl90WQji/sOP5kslkoh5BIlLs7Uf0zS6KZSUpzv3t08xeoUVxs2JvL9um9n6pvU/q7lcS23f1SCJmdqyZ3WBm9+d+Pa6Qg3nU2Kizd73y0H5Uv2puv+hQSlLGOdc9zaxlOvUUfLSXrVN7v9TeJ3X3K4ntu/oWGJ8E7gSWA3cBy4DbzexTBZxNRIrM6H7V3HHxYZSlU5zz26f1YjYiIiIiMdTVI4lfBd4VQvh/IYTfhBD+G3h37nLJk6qqqqhHkIh4aj+6XzV3XHQY1WVpzv3t08xYtD7qkSLlqb28ndr7pfY+qbtfSWzf1SWxL/DqFpe9DvTJ7zgi4sGIvlXccfGh9Koq47zfPcP0hWujHklEREREcrq6JD4O/MTMqgDMrBr4EfBkoQbzqKGhIeoRJCIe2w/rnV0UB9SWc/71z/L0vDVRjxQJj+0lS+39Unuf1N2vJLbv6pL4aWA/YIOZrQDWA5OAiws0l4g4MLhnJX+86FCG9qrkghuf5Ym5q6MeSURERMS9HS6JZlYCnEz2fRFHA6cCo3Nvh7G0wPO5UllZGfUIEhHP7Qf0qOD2iw5lVN9qLrzpOR55fWXUI3Urz+29U3u/1N4ndfcrie13uCSGENqBn4QQmkIIi0MIz4YQFnfDbO6kUl1+RxIpMt7b96sp5/ZPHcq4ATVcdMt0Hnp1RdQjdRvv7T1Te7/U3id19yuJ7bs68b1mdmpBJxHq6+ujHkEiovbQu7qMP3zyUPYaXMunfz+de1/0caKC2vul9n6pvU/q7lcS26e7eLsK4M9m9hSwCAibrwghfLQQg4mIPz2rSrn1k4fwyZum8bk/vkBdcxvnHDwi6rFEREREXOnqkvhK7kMKqLy8POoRJCJq/5YeFaXcfOHBXHLbdL5+18tsamrloqPHRj1Wwai9X2rvl9r7pO5+JbF9l5bEEML/FHoQADMbD7wM/DmEcF7usnOB7wP9gAeBC0MIa3PX9QGuB94NrAa+HkL4Q3fMWgjpdFd3dik2av92lWUlXHf+FL545wy+94/X2NjYxpfevQdmFvVoeaf2fqm9X2rvk7r7lcT2231OopkdYWY/2MZ1/2dmh+Z5nmuA5zr9jH2A3wDnAwOBBuBXW9y+JXfdR4Brc1+TSEk8X1nyQ+3fqSyd4udn7885Bw/n6v/M5Vv3zCSTCTv+woRRe7/U3i+190nd/Upi+x2ttf+Pty9lnT0K/DfZt8TYbWZ2Ntn3X3wSGJe7+CPAvSGEqbnbXAHMMrNaIAOcBewbQqgDHjeze8gulF/Lx0wiEq2SlPG9MyZSW1HKdVPnsampjR99YD/SJcl7lTARERGRpNjRkjgZ+Nc2rnuQ7Kmeu83MegD/CxwPfLLTVfuQXRoBCCG8YWYtwB5kl8S2EMLsTrd/ETgmHzNFoaysLOoRJCJqv21mxtdPnkDPylJ+dP/r1DW38ctz9qeitCTq0fJC7f1Se7/U3id19yuJ7Xe0JPYAyoDGrVxXCtTmaY5vA9eHEBZv8ZyjGmDDFrfdkPu57cDGbVz3DmZ2EXARwLBhw2hqaqKlpYWWlhYAqquraWtro7m5uePzTCZDY2P2rldVVQHQ0NAAZN8UM5VKdRw+Li8vJ51Od3xeVlZGWVkZdXV1HZ+Xl5dTV1dHCIHS0lLKy8tpaGggk8mQTqcxM9auXUsmkyGVSlFVVUVTUxNtbW0dnzc3N9Pa2oqZUVNTQ3Nzc8d9qKmpid19qqio6Phc92nb96m1tZXVq1cX1X3Kd6dPHDYMa2vihw8v5KO/e4pff2R/QmtTou/T5k4tLS1F06kY/+wV6j7V19fT2tpaVPepGDsV4j61tLRQUlJSVPepGDvl+z41NTWRyWSK6j4VY6dC3KeWlhZKS0tjd5+2x0LY9nN8zOw54DshhLu3ct37gW+EEA7a7k/YATObDNwG7B9CaDGzK4FxIYTzzOxu4IkQwg873X4TcCzZI4lPhBCqOl33JeDYEMJ2T4GdMmVKmDZt2u6MXRCrV6+mX79+UY8hEVD7rrvr+cV85c8vse+QHtxwwUH0rUneK4Z1pvZ+qb1fau+TuvsV1/ZmNj2EMGVr1+3oiT0/BX5jZmeaWSr3zVJmdibwa+AneZjvWGAU8KaZLQe+DJxlZs8DM4FJm29oZmOAcmB27iOde0XUzSblvkZEitSZBwzjN+cdyGvLN/GBXz/ForUNUY8kIiIiUlS2uyTm3k7ih8DNQJOZLQWacp//KIRwex5muA4YS/b5j5PJLp9/B95D9gjjqWZ2lJlVk33e4l0hhE0hhHrgLuB/zazazI4A3g/cmoeZIpHE85UlP9R+55y490D+8KlDWFvfwpnXPsmrS7c88zw51N4vtfdL7X1Sd7+S2H6HLxEYQvgJMJTsq5h+Offr0Nzluy2E0BBCWL75A6gDmkIIq0IIM4FPk10WV5J9vuGlnb78UqAyd93twCW5r0mkJL7RpuSH2u+8A0f24c+fPox0yvjwb57iqTfWRD3SLlF7v9TeL7X3Sd39SmL77T4nsVjF9TmJa9asoW/fvlGPIRFQ+123bEMjH73+WRauaeBnZ0/mvRMHRz3STlF7v9TeL7X3Sd39imv73XlOonQjjwu7ZKn9rhvcs5I/ffow9hvWk8/84XlueWpB1CPtFLX3S+39Unuf1N2vJLbXkhgjpaWlUY8gEVH73dOrqozff/IQTpgwkG/ePZOr7n89Mf9CVnu/1N4vtfdJ3f1KYnstiTGSxPOVJT/UfvdVlJbw6/MO4OyDhnP1f+Zy+V9eorU9E/VYO6T2fqm9X2rvk7r7lcT2WhJjZPObZ4o/ap8f6ZIU3z9zIp87fhx3TlvMhTc9x6am1qjH2i6190vt/VJ7n9TdryS215IYI5lM/I96SGGoff6YGV9895784KyJPPnGGj7466dYtqEx6rG2Se39Unu/1N4ndfcrie21JMZIOp2OegSJiNrn34cPGsGNFxzE4nWNnH7NE8xcuiHqkbZK7f1Se7/U3id19yuJ7bUkxkhFRUXUI0hE1L4wjt6jP3/69GGkzPjQr5/i0dmroh7pHdTeL7X3S+19Une/ktheS2KMJPF8ZckPtS+cvQb34K+XHsHIvtVceNNz3P7sm1GP9DZq75fa+6X2Pqm7X0lsryUxRpJ4vrLkh9oX1qCeFdz56cM4clw/vn7Xy/zwX6+RycTjLTLU3i+190vtfVJ3v5LYXktijKRSyuGV2hdeTXma6z82hXMOHsGvHnmDL9wxg6bW9qjHUnvH1N4vtfdJ3f1KYvvkPYuyiFVVVUU9gkRE7btHuiTF987YlxF9qvjBv15j8boGfnP+FPrXRvf+RWrvl9r7pfY+qbtfSWyfvLW2iDU1NUU9gkRE7buPmXHJsWP51UcO4NVlGzn9mieYtWxjZPOovV9q75fa+6TufiWxvZbEGGlra4t6BImI2ne/904czJ8uPpy2TIYPXPskD726IpI51N4vtfdL7X1Sd7+S2F5LYowk8XxlyQ+1j8bEYT2557IjGdO/hk/dOo3rpr5BCN37gjZq75fa+6X2Pqm7X0lsn7yJi1gSz1eW/FD76AzsUcGdFx/GyfsO4nv/eI3L//ISLW3d9ypkau+X2vul9j6pu19JbK8lMUaam5ujHkEiovbRqiwr4epzDuBzJ4znzmmLOe/6Z1hb39ItP1vt/VJ7v9TeJ3X3K4nttSTGSGtra9QjSETUPnqplPHFd+3Bz8+ezIxF6zn9mieYs2JTwX+u2vul9n6pvU/q7lcS22tJjBEzi3oEiYjax8f7Jw/ljosOpaGlndOveYL7Zy4v6M9Te7/U3i+190nd/Upiey2JMVJTUxP1CBIRtY+X/Uf05t7PHsHYATVcfOt0fvrgbDKZwrygjdr7pfZ+qb1P6u5XEttrSYyRJJ6vLPmh9vEzuGcld158GGcdMIyfPzyHi26dzqam/J8uovZ+qb1fau+TuvuVxPZaEmOkpaV7XihD4kft46mitISrPrgfV566N/95fSWnX/ME81bV5fVnqL1fau+X2vuk7n4lsb2WRBGR7TAzLjhiNL//xCGsa2jl/Vc/wb9fWxH1WCIiIiIFoyUxRpJ4vrLkh9rH32Fj+3LPZUcwom8Vn7h5Glf/ew4h7P7zFNXeL7X3S+19Une/ktheS2KMJPFQtOSH2ifDsN5V/PnTh3PapCFc9cBsLr3teeqb23bre6q9X2rvl9r7pO5+JbG9lsQYSeIfIMkPtU+OyrISfvbhyfz3e/fi/pnLOf2aJ5i7ctefp6j2fqm9X2rvk7r7lcT2WhJFRHaSmfGpo8dwy4WHsKa+hfdf/Th/f2lZ1GOJiIiI5IWWxBiprq6OegSJiNon05Hj+3HfZ49kj0G1fOYPz/O/975Ka3tmp76H2vul9n6pvU/q7lcS22tJjJG2tt17bpMkl9on15Beldxx0WFccPgobnhiPmdf9zTLNzR1+evV3i+190vtfVJ3v5LYXktijCTxjTYlP9Q+2crSKa48bR9+cc7+zFq2kff98jGenLu6S1+r9n6pvV9q75O6+5XE9loSRUTy5LRJQ7jnsiPoVVXGedc/wzX/mUsms/tvkyEiIiLSnbQkxkgSz1eW/FD74jFuQC13f+YITtlvCD+6/3U+dcs0NjS0bvP2au+X2vul9j6pu19JbK8lMUYymZ17wQspHmpfXKrL0/zi7MlceereTJ2zilN++RgzFq3f6m3V3i+190vtfVJ3v5LYXktijDQ2NkY9gkRE7YuPmXHBEaO54+LDCAE+cO2T/O6xeYTw9tNP1d4vtfdL7X1Sd7+S2F5LoohIAR0wojf/+NxRnLDXAL7z91l84uZprK1P3pvqioiIiB9aEmOkqqoq6hEkImpf3HpWlfLr8w7kf07bh8fnrOa9P3+MZ+evBdTeM7X3S+19Une/ktheS6KISDcwMz52+CjuuvRwKkpTnH3dU/zy4Tm069VPRUREJGa0JMZIQ0ND1CNIRNTej32H9uS+zx3FqZOG8OMHZ/OJW55n5aamqMeSCOhx75fa+6TufiWxvZZEEZFuVlOe5mcfnswPz9qPF5fW8d6fP8bU2auiHktEREQE0JIYK5WVlVGPIBFRe3/MjA8dNJw7P3EgfarL+OgNz/Ldv79Kc1t71KNJN9Hj3i+190nd/Upiey2JMZJKKYdXau/XHoNqufszR3LeoSP47WPzOf2aJ5mzYlPUY0k30OPeL7X3Sd39SmL75E1cxOrr66MeQSKi9n7V19dTWVbCd06fyO8+OoWVG5t43y8f59anFrzjPRWluOhx75fa+6TufiWxvZZEEZGYOHHvgfzzC0dx6Ji+XHH3TD5x8zRW1zVHPZaIiIg4oyUxRsrLy6MeQSKi9n5t2X5AbQU3ffwgrjx1bx6fu5qTfjaV/7y2MqLppJD0uPdL7X1Sd7+S2F5LYoyk0+moR5CIqL1fW2tvZlxwxGjuvexI+tWU8/GbnuObd79CU6te1KaY6HHvl9r7pO5+JbG9lsQYSeL5ypIfau/X9trvOaiWv33mCD5x5GhueWohp/7ycV5ZsqEbp5NC0uPeL7X3Sd39SmJ7LYkiIjFWUVrCFe/bm1suPJiNTa2cfs0T/PyhObS2Z6IeTURERIqUlsQYKSsri3oEiYja+9XV9kfv0Z8HvnAM79tvMD99aDZnXau3ykg6Pe79Unuf1N2vJLbXkhgjSfwDJPmh9n7tTPueVaX87Oz9+dVHDmDxukZO+eXj/HbqPNozequMJNLj3i+190nd/Upiey2JMVJXVxf1CBIRtfdrV9q/d+Jg7v/C0RyzR3+++49ZnHPd0yxck7znO3inx71fau+TuvuVxPZaEkVEEqh/bTnXnX8gP/7gJGYt28jJP3+M3z+9kBB0VFFERER2j5bEGEnioWjJD7X3a3famxlnHTiM+//raA4Y0Ztv/O0VPnrDsyxZ35jHCaVQ9Lj3S+19Une/ktheS2KMJPGNNiU/1N6vfLQf0quSWz9xMN8+fV+mLVjHe346ldueWUhGz1WMNT3u/VJ7n9TdryS215IYI0k8X1nyQ+39yld7M+P8Q0dy/xeOZr9hPfnvv77Cub/TcxXjTI97v9TeJ3X3K4nttSTGiJ5L5Jfa+5Xv9iP6VnHbJw/h/86cyMwlG3nPz6byu8f0CqhxpMe9X2rvk7r7lcT2WhJjpLS0NOoRJCJq71ch2psZZx88gge+eDRHjO3Hd/4+i7OufZLZel/FWNHj3i+190nd/Upiey2JMZLE85UlP9Ter0K2H9yzkt99bAo/P3syC9fU875fPM4vH55Da3umYD9Tuk6Pe7/U3id19yuJ7bUkxkhDQ0PUI0hE1N6vQrc3M94/eSgPfvEY3rXPQH784GxOu/oJXl68oaA/V3ZMj3u/1N4ndfcrie21JMZIJqO/3fdK7f3qrvb9asq55twD+M35B7K6rpn3X/M4/3PvTOqa27rl58s76XHvl9r7pO5+JbG9lsQYSafTUY8gEVF7v7q7/Xv2GcRDXzyGcw8ZwU1PLuBdP3mUB2Yu79YZJEuPe7/U3id19yuJ7bUkxkhFRUXUI0hE1N6vKNr3rCzlO6dP5M+fPpyelaVcdOt0LrplGss2NHb7LJ7pce+X2vuk7n4lsb2WxBhJ4vnKkh9q71eU7Q8c2Zt7P3skl580galzVnHijx/lxifm6+0yuoke936pvU/q7lcS22tJjJEknq8s+aH2fkXdvrQkxSXHjuWBLxzDgaP68D/3vsoZv3qCV5bohW0KLer2Eh2190nd/Upiey2JMZJKKYdXau9XXNqP6FvFzR8/iF+csz9L1zdx2tWP8537XqVeL2xTMHFpL91P7X1Sd7+S2D55ExexqqqqqEeQiKi9X3Fqb2acNmkID3/xGM4+eAS/e3w+x//4Ee55cSkh6BTUfItTe+leau+TuvuVxPZaEmOkqakp6hEkImrvVxzb96wq5XtnTOQvlxxOv5pyPnf7C5z722eYs2JT1KMVlTi2l+6h9j6pu19JbK8lMUba2nRal1dq71ec2x84sjf3XHYk3z59X15dtpGTf/4Y3/37q3pvxTyJc3spLLX3Sd39SmJ7LYkxksTzlSU/1N6vuLcvSRnnHzqSf3/pGD5w4DB++9h8jr/qEe6esUSnoO6muLeXwlF7n9TdryS2T97ERSyJ5ytLfqi9X0lp37emnP87az/+9pkjGNSzgs//cQZnX/c0ry/XKai7KintJf/U3id19yuJ7bUkxkhzc3PUI0hE1N6vpLWfPLwXf730CL53xkReX7GJ9/7iMb5936tsbGqNerTESVp7yR+190nd/Upiey2JMdLaqv/J8krt/Upi+5KUce4hI/jPl47lwwcN54Yn5nPcjx7hD8+8SXtGp6B2VRLbS36ovU/q7lcS22tJjBEzi3oEiYja+5Xk9r2ry/jeGRO597IjGdu/hv/315c55ReP8eTc1VGPlghJbi+7R+19Une/ktheS2KM1NTURD2CRETt/SqG9vsO7ckdFx/KNecewKamNs793TNcdMs0Fqyuj3q0WCuG9rJr1N4ndfcrie21JMZIEs9XlvxQe7+Kpb2Zccp+g3n4S8fwlffsyeNzV/Ounz7K9/8xS89X3IZiaS87T+19Une/ktheS2KMtLS0RD2CRETt/Sq29hWlJXzmuHE88uVjef/kofxm6jw9X3Ebiq29dJ3a+6TufiWxvZZEERHJuwE9Krjqg5O497IjGd2vuuP5io/NWRX1aCIiIrIDWhJjJInnK0t+qL1fxd5+4rCe/OnTh3H1ufuzqamN869/lvOvf4ZXl26MerTIFXt72Ta190nd/Upiey2JMZLEQ9GSH2rvl4f2Zsb79hvCv798DN84ZS9eWryBU375GF+8cwZL1jdGPV5kPLSXrVN7n9TdryS215IYI0n8AyT5ofZ+eWpfni7hk0eNYepXjuOio8Zw30vLOO6qR/j+P2exodHfi9t4ai9vp/Y+qbtfSWyvJVFERLpVz6pSvv7evfj3l47hfRMHc93UeRzzo//wu8fm0dzWHvV4IiIi7mlJjJHq6uqoR5CIqL1fntsP613FTz48mfs+eyQTh/bkO3+fxQk/fpS7Zywh4+CVUD23907tfVJ3v5LYXktijLS1tUU9gkRE7f1Se9hnSE9u/cQh3HLhwdRWlPL5P87glF8+zr9fW0EIxbssqr1fau+TuvuVxPZaEmMkiW+0Kfmh9n6p/VuO3qM/9332SH5+9mQaWtq48KZpnHXtkzz1xpqoRysItfdL7X1Sd7+S2F5LooiIxEZJynj/5KE89MVj+N4ZE1m6volzfvs051//DC8uWh/1eCIiIi5oSYyRJJ6vLPmh9n6p/daVlqQ495ARPPKVY/nGKXvxypINvP+aJ7j41mnMXrEp6vHyQu39Unuf1N2vJLbXkhgjmUwm6hEkImrvl9pvX0Vp7m0zvnoc/3XiHjw5dw3v+dlU/uuOGSxcUx/1eLtF7f1Se5/U3a8ktteSGCONjX7fVNo7tfdL7bumtqKUz584nqlfPY6Ljh7DP15exgk/fpTL//wSb65piHq8XaL2fqm9T+ruVxLba0kUEZHE6F1dxtdP3oupXz2O8w4dyV9nLOG4Hz/CV//8YmKXRRERkbjRkhgjVVVVUY8gEVF7v9R+1wzsUcGVp+3DY189jvMPHcnfZixN3LKo9n6pvU/q7lcS22tJFBGRxOq8LH70sLeWxa/86cXEP2dRREQkKloSY6ShIRl/+y35p/Z+qX1+DOxRwbdOfWtZvOfFpRz/40djvSyqvV9q75O6+5XE9loSRUSkaHReFj922KiOZfFLd77I3JXF8dYZIiIihaYlMUYqKyujHkEiovZ+qX1hDOhRwTdP3btjWfz7y0t510+n8ulbp/PS4vVRjweovWdq75O6+5XE9rFYEs2s3MyuN7OFZrbJzGaY2cmdrj/BzF4zswYz+4+Zjdzia28ws41mttzMvhjNvdh9qVQsckgE1N4vtS+szcviE5cfz2XHjePJN1Zz2tVPcP71z/D0vDWEECKbTe39Unuf1N2vJLaPy8RpYBFwDNAT+AZwp5mNMrN+wF3AFUAfYBpwR6evvRIYD4wEjgO+amYndd/o+VNfH8/nzUjhqb1fat89+taU86V378kTXzuer508gVnLNnH2dU9z1rVP8vCsFZEsi2rvl9r7pO5+JbF9OuoBAEII9WSXvc3uM7P5wIFAX2BmCOFPAGZ2JbDazCaEEF4DPgZcEEJYB6wzs98CFwD/6r57ICIiSVBbUcqnjxnLBYeP4k/TFvHrR+fxiZunMWFQLZccO5ZTJg4mXRKXvz8VERGJRiz/S2hmA4E9gJnAPsCLm6/LLZRvAPuYWW9gcOfrc7/fp/umzZ/y8vKoR5CIqL1fah+NitISzj9sFI985Vh+8qFJtGUCn//jDE74yaPc+vRCGlvaCz6D2vul9j6pu19JbB+LI4mdmVkpcBtwcwjhNTOrAVZtcbMNQC1Q0+nzLa/b8vteBFwEMGzYMJqammhpaaGlpQWA6upq2traaG5u7vg8k8nQ2NgIvPUmmJtfwrayspJUKtVx+Li8vJx0Ot3xeVlZGWVlZdTV1XV8Xl5eTl1dHSEESktLKS8vp6GhgUwmQzqdTbF27VoymQypVIqqqiqamppoa2vr+Ly5uZnW1lbMjJqaGpqbmzvuQ01NTezuU0VFRcfnuk/bvk/Nzc1Fd5+KsVMh7tPGjRtpbm4uqvuUtE4n79WXI4eX8+jcddz87HKu+NsrXHX/a3xo8kDOPXgYg3vXFOQ+1dXV0dLSok4O71NzczOpVKqo7lMxdsr3fWpsbKS9vb2o7lMxdirEfWpubiadTsfuPm2PRfmk/S2ZWQr4A9ADeH8IodXMfg6UhhAu7XS7l8menvpvYC0wMISwMnfdWcCVIYSJ2/o5U6ZMCdOmTSvcHdlFq1evpl+/flGPIRFQe7/UPl5CCDy3YB3XTZ3HQ7NWUJZOcdYBw/jkUaMZ279mx99gJ6i9X2rvk7r7Fdf2ZjY9hDBla9fF5kiimRlwPTAQeG8IoTV31UyyzzvcfLtqYCzZ5ymuM7NlwCTgwdxNJuW+RkREZKeYGQeP7sPBo/swd2Ud1z8+n788v5jbn32TE/cayEVHj+GgUb3J/idLRESkOMXpOYnXAnsBp4YQGjtd/ldgXzM7y8wqgG8CL+VetAbgFuAbZtbbzCYAnwJu6sa586asrCzqESQiau+X2sfXuAE1fP/MiTz5teP53Anjmb5wLR/6zVOc/qsn+ftLy2hrz+zW91d7v9TeJ3X3K4ntY3G6ae59DxcAzUBbp6suDiHcZmYnAleTfZuLZ8i+mumC3NeWk10wPwA0Aj8IIfxkez8vrqebNjU1UVFREfUYEgG190vtk6OxpZ0/P7+Y6x+bx4I1DQzrXcnHDhvFh6YMp2dV6U5/P7X3S+19Une/4tp+e6ebxmJJ7G5xXRLjer6yFJ7a+6X2ydOeCTz46gpueHw+zy5YS2VpCWcdOJQLDh/FuAHveN20bVJ7v9TeJ3X3K67tE/GcRBERkSQoSRkn7TuIk/YdxCtLNnDzkwu4c9pifv/0mxw1vh8fP2IUx+4xgFRKz1sUEZFkitNzEt1L4vnKkh9q75faJ9u+Q3vyow9O4qmvHc+X370Hs1ds4sKbpnH8jx/hhsfns6mpdZtfq/Z+qb1P6u5XEtvrdNMYaW5uTuSbbcruU3u/1L64tLZn+Ocry7npifk8/+Z6qstK+OCU4Xz0sJGM2eItNNTeL7X3Sd39imt7nW6aEHV1dbH8AySFp/Z+qX1xKS1JcdqkIZw2aQgvLlrPTU8u4LZnFnLTkws4anw/zjt0JCdMGEC6JKX2jqm9T+ruVxLba0mMEY9HdSVL7f1S++I1aXgvfvrhyXz9vRO4/ZlF3P7sm1x863QG96zg7ING8O5x1fTtG/WUEgU97n1Sd7+S2F5LYoyUlu78S6hLcVB7v9S++A2oreDzJ47nM8eN5eHXVvL7pxfy04dm84uH4V17L+O8Q0dy+Ni+eqEbR/S490nd/Upiey2JMZK0w9CSP2rvl9r7kS5J8Z59BvGefQaxcE09tzwxj7tmLONfM5czul815x48gg8cOIze1cl7gQPZOXrc+6TufiWxvV7dNEYaGhqiHkEiovZ+qb1PI/tW85kjh/LU10/gpx+eRJ/qMr77j1kc8v2H+eIdM5i+cG0iT0+SrtHj3id19yuJ7XUkMUYymUzUI0hE1N4vtfcrk8lQUVrCGfsP44z9hzFr2UZue2Yhf31+CXe9sIRxA2r48JThnHnAUPrWJO9voWXb9Lj3Sd39SmJ7HUmMkXRaO7tXau+X2vu1Zfu9BvfgO6dP5Jn/PpEfnDWR2oo03/3HLA79/sNc8vvpPPL6StozOrpYDPS490nd/Upi++RNXMQqKiqiHkEiovZ+qb1f22pfU57mwweN4MMHjWD2ik3c8dwi/vrCEv75ynKG9KzgA1OG88EDhzG8T1U3Tyz5ose9T+ruVxLb60hijCTxfGXJD7X3S+396kr7PQbWcsX79ubpr5/Arz5yAOMG1vLLf8/h6B/9h/Ovf4Z7X1xKc1t7N0wr+aTHvU/q7lcS2+tIYowk8XxlyQ+190vt/dqZ9mXpFO+dOJj3ThzMkvWN/GnaIv40bTGfvf0FelWVctqkIZx5wDAmDeuJmd5KI+70uPdJ3f1KYnstiTGSSunArldq75fa+7Wr7Yf2quQLJ+7BZ48fzxNzV3PntEXc8dwibnlqIWP7V3PmAcM4Y/+hDOlVmeeJJV/0uPdJ3f1KYnvz+BLbU6ZMCdOmTYt6jHdoampK5DnLsvvU3i+19yuf7Tc2tfKPl5Zx1/NLeHbBWszgsDF9OfOAYZy87yCqy/V3wnGix71P6u5XXNub2fQQwpStXqclMT7Wr19Pr169oh5DIqD2fqm9X4Vq/+aaBu56YTF3Pb+EN9c2UFlawsn7DuLMA4Zx2Ni+lKR0OmrU9Lj3Sd39imv77S2J+qvFGGlra4t6BImI2vul9n4Vqv2IvlV84cQ9+PwJ45m+cB1/eX4x9720jLteWMKgHhWcvv9Qzth/KHsOqi3Iz5cd0+PeJ3X3K4nttSTGSBLPV5b8UHu/1N6vQrc3M6aM6sOUUX341qn78NCsFdz1/BJ++9g8fv3oG+w5sJbTJg/h1P2GMKKv3k6jO+lx75O6+5XE9jrdNEbier6yFJ7a+6X2fkXVfnVdM/94eRl3z1jK9IXrAJg8vBenTRrC+/YbzIAe+vNYaHrc+6TufsW1vZ6TuIW4LokbNmygZ8+eUY8hEVB7v9Terzi0X7yugXtfXMY9Ly5l1rKNpAwOG9uX0yYN4aR9BtOzqjTS+YpVHNpL91N3v+LaXs9JTIjW1taoR5CIqL1fau9XHNoP613FJceO5ZJjxzJnxSbueXEp97y4lMv/8jJX/G0mR+/Rn9MmD+HEvQZQVab/ZciXOLSX7qfufiWxvf6NHyN6A2S/1N4vtfcrbu3HD6zlS+/eky++aw9eWryBe15cyr0vLuWhWSuoKE1x3J4DeO/EwRw/YYDeUmM3xa29dA919yuJ7XW6aYw0NzdTXl4e9RgSAbX3S+39SkL79kzgmflr+OfLy/nnK8tZXddMeTrFsXv2570TB3PCXgOp0cK405LQXvJP3f2Ka3udbpoQcf0DJIWn9n6pvV9JaF+SMg4f24/Dx/bjytP2YdqCtfzzleX885Vl3D9zBWXpFEeP788p+w3ihL0G0qNCz2HsiiS0l/xTd7+S2F5LYoy0tLREPYJERO39Unu/kta+JGUcMqYvh4zpyzfftzfPv7mOf7ycXRgfmrWCspIUR43vx8kTB/OuvQbqRW+2I2ntJT/U3a8ktteSKCIiIjsllXrrPRi/ccpezFi8nn++vIx/vLych19bSTplHDKmD+/eexDv2nsgQ3pVRj2yiIjsBD0nMUbi+h4qUnhq75fa+1WM7UMIvLh4Aw/MXM4Dr65g7so6APYd2oN37z2Id+8zkD0H1ibyRRzyqRjby46pu19xba/3SdxCXJfEjRs30qNHj6jHkAiovV9q75eH9vNW1fHgqyt44NUVPP/mOkKA4X0qswvj3gM5cGRv0iWpqMfsdh7ayzupu19xba8XrkmIJJ6vLPmh9n6pvV8e2o/pX8PFx9Rw8TFjWbmpiYdnreTBV1dw69MLuf7x+fSuKuWEvQby7r0HctT4/lSWlUQ9crfw0F7eSd39SmJ7LYkiIiJScANqKzjn4BGcc/AI6prbmDp7VfYo48zl/Hn6YsrTKQ4b25fjJwzguD0HMLxPVdQji4i4pSUxRqqrq6MeQSKi9n6pvV+e29eUp3nvxMG8d+JgWtszPDt/LQ/PWsm/X1vBN++eCcxk/IAajt9rAMfvOaDoTkv13N4zdfcrie21JMZIW1tb1CNIRNTeL7X3S+2zSktSHDGuH0eM68c3T92beavq+PdrK/nP6yu54fH5/ObRefSoSHP0Hv05fsIAjt1zAH2qy6Iee7eovU/q7lcS22tJjJHm5mZqa2ujHkMioPZ+qb1far91Y/rXMKZ/DZ88agybmlp5Yu5q/v3aSv792irue2kZZjB5eC+O33MAx00YwN6De5BKJevVUtXeJ3X3K4nttSSKiIhILNVWlHLSvoM5ad/BZDKBV5ZuyB5lfG0lP35wNj9+cDb9aso4clw/jhrfn6P26MeA2vi9zLyISNJoSYyRJJ6vLPmh9n6pvV9qv3NSKWO/Yb3Yb1gvvnDiHqza1Mxjc1YxdfYqHpuzmr/NWArAXoN7cPQe/Th6fH+mjOpNeTp+r5iq9j6pu19JbK8lMUYymUzUI0hE1N4vtfdL7XdP/9pyzjxgGGceMIxMJvDqso1MzS2Nm5/LWFlawqFj+nD0Hv05anx/xvavxiz6U1PV3id19yuJ7bUkxkhjY2Mi/6ZBdp/a+6X2fql9/qRSxr5De7Lv0J5ceuw46pvbeHreGqbOXsXUOav5z72vAjC0VyVH75F9kZzDxvSlb015JPOqvU/q7lcS22tJFBERkaJSXZ7mhL0GcsJeAwFYtLah4yjjfS8u4/ZnFwEwYVAth4/txxHj+nLw6D7UVpRGObaISGxYCCHqGbrdlClTwrRp06Ie4x0aGhqoqtKbB3uk9n6pvV9qH4229gwvL9nAk2+s4ck3VjNtwTqa2zKUpIz9hvXk8LF9OWJsPw4Y2ZuK0sI8n1HtfVJ3v+La3symhxCmbO06HUkUERERN9IlKfYf0Zv9R/TmM8eNo6m1neffXMdTb6zhibmr+fWj87jmP29Qlk4xZWRvDh/bl8PH9WO/oT1Jl6SiHl9EpFtoSYyRuP4tgxSe2vul9n6pfTxUlJZw+Nh+HD62H196957UNbfx7Pw1PDl3DU+8sYarHpgND8ympjzNgSN7c/DoPhw6pg8Th/aiLL1rS6Pa+6TufiWxvZZEERERkZya8jTHTxjI8ROyz2dcW9/CU2+s4al5q3l2/lp+dP/rAFSUpth/eG8OGdOHg0f34YARhTs9VUSku2lJjJHKysqoR5CIqL1fau+X2idDn+oyTtlvMKfsNxjILo3Pzl/Ls/PX8sz8Nfz84TmEAKUlxqRhvTh4dB8OGdOXA0f2pqZ86/+bpfY+qbtfSWyvJTFGUik918ErtfdL7f1S+2TqU13GSfsO4qR9BwGwsamV6QvW8fT8NTw7fy3XTZ3Hrx55g5KUsc+QHhwyug9TRvXhwJG96Zd7yw2190nd/Upiey2JMVJfX5/Iv2mQ3af2fqm9X2pfHHpUlHLchAEcN2EAAA0tbTy/cD3Pzl/DM/PXcvNTC/ntY/MBGNW3igNG9mZC3zKO2Wc44wfUkEpZlONLN9Jj3q8ktteSKCIiIpInVWVpjhzfjyPH9wOgua2dV5ZsYPrCdUxfuI6ps1dxV10L33twPrUVaQ4Y0ZsDR2Y/Jg/vRfU2TlEVEelO+jdRjJSXl0c9gkRE7f1Se7/U3ofydAkHjuzDgSP7ABBCYNaiVcxa1cL0N9cxfcE6fvrQbEKAlMFeg3t0LI0HjuzN0F6VmOloYzHQY96vJLbXkhgj6bRyeKX2fqm9X2rvk5kxun8te4+o5KwDhwGwobGVGYvWM33BWqa/uY4/T1/MLU8tBKBfTTmTh/dk8vBeTBrei/2G9aJnZWmUd0F2kR7zfiWxffImLmJJPF9Z8kPt/VJ7v9Tery3b96ws5Zg9+nPMHv0BaGvP8NryTTz/5jpmLFrPi4vW89CslR23H9u/mknDe7F/bnGcMKjHLr9no3QfPeb9SmJ7LYkiIiIiMZIuSbHv0J7sO7QnHz0se9mGxlZeWpxdGGcsWp99buPzSwAoS6fYZ0gPJg/v1fExok+VTlMVkV2mJTFGysrKoh5BIqL2fqm9X2rv166071lZylHj+3PU+OzRxhACS9Y38uKiDcxYlD3iePuzb3LjEwsA6F1Vyr5DezIx97Hv0J4M663nN0ZJj3m/ktheS2KMJPEPkOSH2vul9n6pvV/5aG9mDOtdxbDeVZyy32Age5rq6ys2dSyOryzZyHVT59GWCQD0qirtWBj3HZJdHof30eLYXfSY9yuJ7bUkxkhdXR0VFRVRjyERUHu/1N4vtferUO3TJSn2GdKTfYb05NxDRgDQ1NrO68s38fKSDbyyZAMvL9nA7x6bR2t7dnHsWVnKvkN7vO2oo05VLQw95v1KYnstiSIiIiJFqqK0hEm5F7jZrLktuzi+smRjx/J44+MLaGnPAFBbkWbfIT3Ze0gP9hrcg70H92DcgBq9OI6II1oSYySJh6IlP9TeL7X3S+39irp9ebqE/YZl305js5a2DLNXvHXE8ZUlG/j90wtpbssujqUlxtj+New9JLs07pX76FOtP8ddFXV3iU4S22tJjJEkvtGm5Ifa+6X2fqm9X3FsX5Z+6xVVN2trz7BgTT2vLtvErGUbmbVsI4/PWd3xqqoAg3pUsNfg2o6jjnsN7sGovtWUpHS66pbi2F26RxLba0mMkbq6ukT+IZLdp/Z+qb1fau9XUtqnS1KMG1DLuAG1nDZpSMfla+qambVsE68u28Cs3AL52JzVHS+QU1lawh6DapkwsJY9BtWy58Ba9hhUQ/+actfPdUxKd8m/JLbXkhgjIYSoR5CIqL1fau+X2vuV9PZ9a8o5cnw5R47v13FZc1s7c1bU5Y44ZhfIB2et4I5pizpu07uqlD0G1rLnoFr2GJj92HNgLT2rSqO4G90u6d1l1yWxvZbEGCkt9fEvSXkntfdL7f1Se7+KsX15uuQdp6sCrK5rZvbyTby+YhOzV2xi9oo6/vr8EjY1t3XcZmCP8o6FcfORx/EDa6gqK67/TS3G7tI1SWxfXI++hEvaYWjJH7X3S+39Unu/PLXvV1NOv3HlHD7uraOOIQSWbWjKLo6dFshbO71QDsDwPpWM7V/DuP41jBuQ/Rjbv4beCX2xHE/d5e2S2F5LYow0NDQk7j1UJD/U3i+190vt/fLe3swY0quSIb0qOW7PAR2Xt2cCb65t4PXlm5izIrs8vrGqnqfeWPO25bFvdRljcwvjW8tjNUN6VpKK8QvmeO/uWRLba0mMkUwms+MbSVFSe7/U3i+190vtt64kZYzuV83oftWctO+gjsvbM4Gl6xuZu7KOuSvreGNV9td/vrKM9Q2tHberLC1h7IDqtx19HDughpF9qyhPl0Rxl95G3f1KYnstiTGSTiuHV2rvl9r7pfZ+qf3OKUkZw/tUMbxPFcdNGPC269bUNecWx/rsErmqjmkL1nH3jKUdt0kZDO1dyai+1R1L6Kh+1YzpV83QXpWkS1Ldcj/U3a8ktk/exEUsaYehJX/U3i+190vt/VL7/OlbU07fmnIOGdP3bZc3tLQxb1U9b6yqY96qeuavrmfBmvp3vGhOaUl2AR3dN7s4ju70MahHRV5PX1V3v5LYXktijCTxfGXJD7X3S+39Unu/1L7wqsrSW3211RACa+pbWLC6nnmr61mwOrtAzl9dzxNvrKap9a3TAsvTqexRx44FMns0c2Tf7AJZspMLpLr7lcT2WhJjJInnK0t+qL1fau+X2vul9tExs+wrrtaUM2VUn7ddl8kEVmxqYv6qeuavqWf+quzRxzkrN/HwaytobX/rve7KSlIM612ZWxqrGNGnquP3w3tXUV3+zv/FVne/ktheS2KMpFLdc068xI/a+6X2fqm9X2ofT6mUMbhnJYN7Vr7tLTsA2tozLNvQxJtrG1i4poE31zawaG0DC9fW8/yb69jU1Pa22/erKWdEn0pG9KliRN9qRvSpondpG/uW1dC/pjzWr8Iq+ZfEx7yWxBipqqqKegSJiNr7pfZ+qb1fap886ZJUx4vnHDHundevb2h55wK5poHnFqzjnheXkuk4CDmT8nT2ew3rXcnQXpUM613F0N6VDOtdybBelfTTEll0kviY15IYI01NTYk7X1nyQ+39Unu/1N4vtS8+varK6FVVxn7Der3jupa2DEvWN/LqmytZ22y8uTa7SC5Z38iMRevf9jYeAGXpVG55rHzr1965ZbJXJQN34fmQEq0kPua1JMZIW1vbjm8kRUnt/VJ7v9TeL7X3pSz3Aji11NKvX793XF/X3MaSdY0sWd/A4nWNLFnXyOJ1jSxe38isWStYXdfyttunU8bgXhUM6/XWEcghvSoZ0rOSQT0rGNKrgqoy/S9+nCTxMa8/QTGSxPOVJT/U3i+190vt/VJ7n7bVvaY8zZ6DatlzUO1Wr29qbWfJ+sZOC2RDx+ePz1nNik1NhPD2r+lZWcrgnhUM6ZVbHHtWZJ9v2Sv3a88KKkpL8n0XZRuS+JjXkhgjSTxfWfJD7f1Se7/U3i+192lXu1eUljC2fw1j+9ds9frmtnZWbGhm6YZGlm9oYumGRpatb2LZhkaWrm9ixqL1rK1vecfX9akuY3DPitxHdoHsOBrZs5IBPcq1SOZJEh/zWhJjpLm5OXHnK0t+qL1fau+X2vul9j4Vqnt5uoQRfasY0Xfbi0hTazvLNjSxbH1j9tcNjSzNfb54XSPPLVjHhsbWd3xdr6pSBtZWMKBHOQN7VDAw9+uA2rd+37+2nNKS5B0p605JfMxrSYyR1tZ3PjjFB7X3S+39Unu/1N6nKLtXlJYwul81o/tVb/M29c1tHQvksg1NrNzYxIqNzazY2MSKTc3MXbmalZuaac+8/dxWM+hbXd6xNA7sUZ5bIjstlT3K6Vtd7vYFd5L4mNeSGCNmPh84ovaeqb1fau+X2vsU9+7V5WnGDahh3ICtn9YK0J4JrK1vYcXGJlZuyi6Ryze89fsVG5t4afEG1tQ3v+N5kiUpo39NOf1rsx/9aspyv+YuqymnX+662vJ07P957Ywk3hctiTFSU7PtB6UUN7X3S+39Unu/1N6nYuhekrKOJQ96bvN2re0ZVtc1dyyOm49KLt/YlLu8iZlLN7C6ruUdRyYh+4qwHUtjTTn9a8u2+Pyt5bK6PP7rTBLbx/+fqiPNzc2Ul5dHPYZEQO39Unu/1N4vtffJU/fSklTuVVQrt3u7TCawvrGVVZuaWbWpmdV1b/91VV0zi9c1MGPROtbUt7zj6CRAZWlJx5HJPtXl9K0uo29NGX06fn37ZeXp7n8xniS215IYIy0t73zlKfFB7f1Se7/U3i+190nd3ymVMvpUZ5e3bb0FyGZt7RnWNrSwelMLq+q2vlQuXtfAi4vXs66+hbatHKGE7FuObP6ZfbdYJPtUl9GnZvPl2cvy8QqvSWyvJVFERERERGItXZJiQG32lVV3JITAxsY2Vtc3s7a+hTV1Laytb2FtfTNrOn2+dEMTryzdwNr6Flrbt75UVpWVdCyUvavL6FNVRq+qMvpUl9KrqozeVWX0ri6ld1V2yexVVRrJ0cp805IYI0k8X1nyQ+39Unu/1N4vtfdJ3buPmdGzqpSeVaWM7b/j24cQ2NTcllsemzuWyDX1m5fLFlbXZS+fs6KO9Q0t1Le0b/P7VZWVvG157FFewlUf6k1lWXKWRy2JMdLS0pK491CR/FB7v9TeL7X3S+19Uvf4MjN6VJTSo6J0u28T0llzWzvrG1pZ15BdIjf/fl19C+saWnO/Zn+/cHUdZelkvZeklsQYSeL5ypIfau+X2vul9n6pvU/qXlzK0yUM7FHCwB47XvxXr16duPeITNZKKyIiIiIiIgWlJTFGqqu7dnhbio/a+6X2fqm9X2rvk7r7lcT2WhJjpK2tLeoRJCJq75fa+6X2fqm9T+ruVxLba0mMkebm5qhHkIiovV9q75fa+6X2Pqm7X0lsryVRREREREREOmhJjJEknq8s+aH2fqm9X2rvl9r7pO5+JbG9lsQYyWQyUY8gEVF7v9TeL7X3S+19Une/ktheS2KMNDY2Rj2CRETt/VJ7v9TeL7X3Sd39SmJ7LYkiIiIiIiLSQUtijFRVVUU9gkRE7f1Se7/U3i+190nd/Upi+6JYEs2sj5n91czqzWyhmZ0b9UwiIiIiIiJJVBRLInAN0AIMBD4CXGtm+0Q70s5raGiIegSJiNr7pfZ+qb1fau+TuvuVxPaJXxLNrBo4C7gihFAXQngcuAc4P9rJREREREREkifxSyKwB9AWQpjd6bIXgcQdSaysrIx6BImI2vul9n6pvV9q75O6+5XE9umoB8iDGmDjFpdtAGo7X2BmFwEXAQwbNoympiZaWlpoaWkBsm9y2dbWRnNzc8fnmUym4yVrNz/hdPPh4srKSlKpFPX19QCUl5eTTqc7Pi8rK6OsrIy6urqOz8vLy6mrqyOEQGlpKeXl5TQ0NJDJZEinsynWrl1LJpMhlUpRVVVFU1MTbW1tHZ83NzfT2tqKmVFTU0Nzc3PHfaipqYndfaqoqOj4XPdp2/epsbGx4z4Uy30qxk6FuE/r16+nsbGxqO5TMXYqxH2qq6ujqampqO5TMXYqxH3afJtiuk/F2Cnf96mxsZHW1taiuk/F2KkQ96m5uZlUKhW7+7Q9FkLY7g3izsz2B54IIVR1uuxLwLEhhFO39jVTpkwJ06ZN664Ru2z16tX069cv6jEkAmrvl9r7pfZ+qb1P6u5XXNub2fQQwpStXVcMp5vOBtJmNr7TZZOAmRHNIyIiIiIikliJXxJDCPXAXcD/mlm1mR0BvB+4NdrJdl55eXnUI0hE1N4vtfdL7f1Se5/U3a8ktk/8kphzKVAJrARuBy4JISTuSOLm5yWKP2rvl9r7pfZ+qb1P6u5XEtsXxZIYQlgbQjg9hFAdQhgRQvhD1DPtis1PRBV/1N4vtfdL7f1Se5/U3a8kti+KJVFERERERETyQ0tijJSVlUU9gkRE7f1Se7/U3i+190nd/Upiey2JMZLEP0CSH2rvl9r7pfZ+qb1P6u5XEtsn/n0Sd4WZrQIWRj3HVvQDVkc9hERC7f1Se7/U3i+190nd/Ypr+5EhhP5bu8LlkhhXZjZtW29oKcVN7f1Se7/U3i+190nd/Upie51uKiIiIiIiIh20JIqIiIiIiEgHLYnxcl3UA0hk1N4vtfdL7f1Se5/U3a/EtddzEkVERERERKSDjiSKiIiIiIhIBy2JIiIiIiIi0kFLYgTM7DIzm2ZmzWZ20xbXnWBmr5lZg5n9x8xGRjSmFMC22pvZKDMLZlbX6eOKCEeVPDKzcjO73swWmtkmM5thZid3ul6P+yK1vfZ63Bc/M/u9mS0zs41mNtvMPtnpOj3ui9i22utx74OZjTezJjP7fafLzs39t6DezP5mZn2inHFH9JzECJjZmUAGeA9QGUK4IHd5P+AN4JPAvcC3gaNCCIdGNKrk2XbajwLmA6UhhLbIBpSCMLNq4CvATcCbwHuB24GJQB163BetHbQHPe6LmpntA8wNITSb2QTgEeAUYCF63Be17bRfgx73Rc/MHgAqgYUhhPNyfx6eJvtn4HmyL2STCiGcHeGY25WOegCPQgh3AZjZFGBYp6vOBGaGEP6Uu/5KYLWZTQghvNbtg0rebae9FLEQQj1wZaeL7jOz+cCBQF/0uC9aO2g/PZKhpNuEEGZ2/jT3MZZsfz3ui9h22q+JZiLpLmZ2NrAeeBIYl7v4I8C9IYSpudtcAcwys9oQwqZIBt0BnW4aL/sAL27+JPc/F2/kLhcfFprZYjO7MXdkWYqQmQ0E9gBmose9K1u030yP+yJmZr8yswbgNWAZ8A/0uHdhG+030+O+CJlZD+B/gS9ucdWWj/k3gBay/z2IJS2J8VIDbNjisg1AbQSzSPdaDRwEjCT7N8y1wG2RTiQFYWalZNvenDtioMe9E1tpr8e9AyGES8m2PQq4C2hGj3sXttFej/vi9m3g+hDC4i0uT9xjXktivNQBPba4rAcQy8PQkj8hhLoQwrQQQlsIYQVwGfBuM4vtvzxk55lZCriV7N8eXpa7WI97B7bWXo97P0II7SGEx8k+zeAS9Lh3Y8v2etwXLzObDJwI/HQrVyfuMa/nJMbLTOBjmz/JveDBWN5+WpL4sPkVpfQXOUXCzAy4HhgIvDeE0Jq7So/7Ired9lvS4774pXnr8a3HvS+b229Jj/vicSwwCngz+699aoASM9sb+BcwafMNzWwMUA7M7vYpu0h/ICNgZmkzqwBKyP7hqTCzNPBXYF8zOyt3/TeBl/Qk9uKxrfZmdoiZ7WlmKTPrC/wCeCSEsOWpCZJc1wJ7AaeGEBo7Xa7HffHbans97oubmQ0ws7PNrMbMSszsPcA5wMPocV/Uttdej/uidh3ZvwiYnPv4NfB3sq9ofxtwqpkdlftLof8F7orri9aAlsSofANoBL4GnJf7/TdCCKuAs4DvAuuAQ4DYvjSu7JKttgfGkP1bpk3AK2Sft3BORDNKnuXe/+xisv/RWN7pvbE+osd9cdtee/S4L3aB7Kmli8k+tq8CvhBCuEeP+6K3zfbocV+0QggNIYTlmz/InmLaFEJYlXu120+TXRZXkn0u4qURjrtDep9EERERERER6aAjiSIiIiIiItJBS6KIiIiIiIh00JIoIiIiIiIiHbQkioiIiIiISActiSIiIiIiItJBS6KIiIiIiIh00JIoIiJSJMys3MxeNbPB27j+AjN7vEA/ez8ze7IQ31tERLqXlkQREYklM3vEzD4Z9Ry7y8yCmdWbWV2nj6/mrrvSzFpzl603syfN7LBOX3usmWVy128ys9fN7OPb+XEXAVNDCMt2YbbVZna7mfXKXXe/mV3e6bZDc7ff2mWDQggvAevN7NSd+yckIiJxoyVRREQkD8wsvZ2rJ4UQajp9/LDTdXeEEGqAfsB/gD9t8bVLc9f3AC4Hfmtme2/j53wauHUnR5+U+/5jgN7AlbnLpwJHd7rd0cBrW7lsTghhee7z24CLd/Lni4hIzGhJFBGRWDOz3mZ2n5mtMrN1ud8P63T9I2b2ndxRuDozu9fM+prZbWa20cyeM7NRnW4fzOxSM5uTOzr3bTMbm/v6jWZ2p5mVdbr9+8xsRqcjfft1um6BmV1uZi8B9TtYFLcrhNBGdskaamb9t3J9CCH8DVgHvGNJNLMRZBe9Zzpd1tfM7sndr2eBsdv5+RuBezp976nAEWa2+f8VjgJ+BkzZ4rKpnb7NI8AJZla+wzssIiKxpSVRRETiLgXcCIwERgCNwNVb3OZs4HxgKNlF6Knc1/QBZgHf2uL27wEOBA4FvgpcB5wHDAf2Bc4BMLP9gRvIHh3rC/wGuGeLJegc4BSgV27R2yW5xfSjwBqyi+CW16fM7AygF/DyVr7FRGDeFjNcAzQBg4ELcx/b+vm9gdOBp3MXPQuUA5Nynx8NPAjM3eKyjiUxhLAEaAX23OYdFRGR2NOSKCIisRZCWBNC+EsIoSGEsAn4LnDMFje7MYTwRghhA/BP4I0QwkO5helPwP5b3P6HIYSNIYSZwCvAAyGEeZ2+fvPtLwJ+E0J4JoTQHkK4GWgmu1xu9osQwqIQQuN27sbzuSORmz/e0+m6D5nZerLL76eAD2yx6A3JXb+a7LJ7fgjh9a38jF7Aps2fmFkJcBbwzRBCfQjhFeDmbc2W+/4jyC7ChBCayR6VPNrM+gA9QwjzgMc6XbY38OgW329TbhYREUmoXT4tRkREpDuYWRXwU+Akss+ZA6g1s5IQQnvu8xWdvqRxK5/XbPFtd3T7QbnfjwQ+Zmaf7XR9GTCk0+eLunA3DgghzN3GdXeGEM4zs37AX8ge4Xyk0/VLQwjDtvqVb7cOqO30eX+y/53vPN/Cbc1mZqXApcBjZrZ3CKGJt56XuAB4Inf7x4GP5y5bFELY8nvWAuu7MK+IiMSUjiSKiEjcfYns6YuHhBB68NYLp1g3/OxFwHdDCL06fVSFEG7vdJuQjx8UQlhN9sjlldt6C4sdeAkY3el5kauANrKn0G42Yjs/vxX4HTCa7Cm3kF0SjyL7z/yx3GVPAEewxammkH21U7JL9NaOdIqISEJoSRQRkbirJXt0b33uFMctn19YSL8FPm1mh1hWtZmdYma1O/zKXZA7jfR+ss+T3NmvXUz2+YIH5z5vB+4iu3RW5V4R9WPb+vrc6akfJ/vPel7u4qfInjp6HrklMYSwjuwCeh5bLIlkTwP+d+5UVRERSSgtiSIiEmeB7CtqVpJ9ztzTwL+67YeHMI3s8wSvJns651zggl34Vi9u8T6JP9vObX8EXGRmA3bh5/yG7Av4bHYZ2VNtlwM3kX0xn63ORvb+fQw4I4SwFiCEUA9MJ3t08JVOX/MYMIB3LokfAX69C3OLiEiMWAh5OUtGREQkr8zseeB/c2/7IF2Qe9XVF4ATQgjLuvln70f2RX4O686fKyIi+aclUUREYsfM9gGmARO28sIoIiIiUkA63VRERGLFzH4APABcrgVRRESk++lIooiIiIiIiHTQkUQRERERERHpoCVRREREREREOmhJFBERERERkQ5aEkVERERERKSDlkQRERERERHpoCVRREREREREOvx/HsskvPN5Xl4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.plot(jammer_erp_vector, crossover_range, '')\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Crossover Range', size=14)\n",
    "\n",
    "plt.xlabel('Jammer ERP (dBW)', size=12)\n",
    "\n",
    "plt.ylabel('Crossover Range (m)', size=12)\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For an escort type jammer, set the jammer range (m) and the antenna gain in the direction of the jammer (dB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "jammer_range = 10e3\n",
    "\n",
    "antenna_gain_jammer_direction = 5.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the keyword args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = {'peak_power': peak_power,\n",
    "\n",
    "          'antenna_gain': 10 ** (antenna_gain / 10.0),\n",
    "\n",
    "          'target_rcs': 10 ** (target_rcs / 10.0),\n",
    "\n",
    "          'jammer_range': jammer_range,\n",
    "\n",
    "          'jammer_bandwidth': jammer_bandwidth,\n",
    "\n",
    "          'effective_radiated_power': 10 ** (jammer_erp_vector / 10.0),\n",
    "\n",
    "          'radar_bandwidth': radar_bandwidth,\n",
    "\n",
    "          'losses': 10 ** (losses / 10.0),\n",
    "\n",
    "          'antenna_gain_jammer_direction': 10 ** (antenna_gain_jammer_direction / 10.0)}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import the `crossover_range_escort` routine from countermeasures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.ecm.countermeasures import crossover_range_escort"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the crossover range for an escort type jammer (m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "crossover_range = crossover_range_escort(**kwargs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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626X2dqm9XSG21yLSiA5NC/nn8YP4YsEqfvfClKjHERERERGRQGkRGZBtPV96z96tuWivnjw14TueHD87RVNJQwjxXHlJDbW3Sd3tUnu71N6uENtrERmQRGLbb9Pxs323Y+ceLbjq+Sl8Pm9lCqaShpCK9hImtbdJ3e1Se7vU3q4Q22sRGZDVq1dv8/fIiTluPGFHmhTmcsEjE1lVUZ2CySTdUtFewqT2Nqm7XWpvl9rbFWL7BllEOufynXP3OOdmOedWOec+cc4dlNw20jn3unNuqXNukXPuKedcuzrPvdo5V+2cK63z0b3O9kHOuQnOufLkr4PqbHPOuWudc0uSH9c651xD7HMma9Uon3+duCPfLi3nimcm472PeiQREREREQlEQx2JjAOzgT2AJsCVwJPOua5AM+BOoCvQBVgF3Lfe85/w3pfU+fgawDmXB7wAPJz8Pg8ALyQfBzgHOAIYCAwADgXOTc8upl9RUVHKvteI7i34xf69eXnyPB5475uUfV9Jj1S2l7CovU3qbpfa26X2doXYvkEWkd77Mu/91d77b7z3Ce/9S8BMYIj3/j/e+6e89yu99+XAzcAu9fzWe1K7QP2n977Se38T4IC9k9tPB6733n/nvZ8DXA+ckcJdC9q5u3dnnz6t+fMrn/Pxt8uiHkdERERERAIQyXsinXNtgO2AqRvYvPsGHj80ebrrVOfc+XUe7wd86r9/PuanycfXbp9UZ9ukOtuCU15entLvF4s5rj9uIG0aF3DhIxNZUhrePWqsSHV7CYfa26Tudqm9XWpvV4jt4w39A51zucAjwAPe+2nrbRsA/A44vM7DT1J7uusCYATwjHNuuff+MaAEWLHej1gBNEr+fv3tK4AS55xbb+GJc+4cak9/pWPHjlRUVFBVVUVVVRVQe+ndmpqadTcDLS4uJpFIrHsj7NrD0Gv/EBQWFhKLxSgrKwMgPz+feDy+7vO8vDzy8vIoLS1d93l+fj6lpaV478nNzSU/P5/y8nISiQTxeJyqqiqWLl1KIpEgFotRVFRERUUFNTU16z6vrKykuroa5xwlJSVUVlau24eSkpIf7FPOmhqu+VEPznx0Khc+MoE7TxpAVWVFg+1TQUHBus9TtU9Rd0rHPpWXl7N48eKs2qds7JSOfVqxYkXW7VM2dkr1Pq39ftm0T9nYKR37tPY1n037lI2d0rFPK1asyLp9ysZO6dinFStWZOQ+bYpryIuqOOdiwKNAY+Bw7311nW09gTHAFd77hzbxPa4Ahnnvj3bO/RzYz3t/cJ3tLwKjvffXO+dWJLd/mNw2JLmt0Qa/edLQoUP9+PHjt35H06SsrCxt95F5cvxsLn/6U87fswe/OrBPWn6GbL10tpfMpvY2qbtdam+X2tuVqe2dcxO890M3tK3BTmdNXhX1HqANcPR6C8guwBvAHze1gEzy1L7vEWpPex2w3hVXB/C/02GnUntRnbUGsuFTaIOwuX8R2BbHDe3EicM7c9voGbw6ZX7afo5snXS2l8ym9japu11qb5fa2xVi+4ac+DZge+BQ7/26m6E45zoAbwE3e+9vX/9JzrnDnXPNkrfrGA5cQu0VWQFGA2uAS5K3Ebko+fhbyV8fBC51znVwzrUHLgPuT/2uNYy1h6fT5erD+jKwYxN+8dQkvl5UmtafJVsm3e0lc6m9Tepul9rbpfZ2hdi+oe4T2YXaW2sMAubXud/jycBZQHfg6rr3gqzz9BOA6dTe+uNB4Frv/QMA3vsqam/hcRqwHDgTOCL5OMAdwIvAZGAK8HLyMdmA/HgOt54yhLx4jPMenkBZZU3UI4mIiIiISIZp0PdEhiJT3xO5atUqGjXa5Ns5U2Ls9MWces84Du7fjn+duCPfP1tYotBQ7SXzqL1N6m6X2tul9nZlavuMeE+kbLt4vGEuprtLz5b84oDevPTpPO4d+02D/EzZtIZqL5lH7W1Sd7vU3i61tyvE9lpEBqQhz5c+f48e7N+3DX955XM+nLm0wX6ubFiI58pLaqi9Tepul9rbpfZ2hdhei0jZIOccfz9uIF2aF3HhoxNZuLIi6pFERERERCQDaBEZkLy8vAb9eY0Lcrn91CGUVtRwwSMTqapJNOjPl/9p6PaSOdTeJnW3S+3tUnu7QmyvRWRAovgDtl2bRvztmAGMn7WMv7zyeYP/fKkV4v+4SGqovU3qbpfa26X2doXYXovIgJSWRnPvxkMHtucnu3bj/ve+4YVP5kQyg3VRtZfoqb1N6m6X2tul9naF2F6LSKmXKw7qw/CuzbnimclMm78y6nFERERERCQiWkQGJMpD3bk5MW4+eUcaFcQ576EJrCivjmwWi0I8zUFSQ+1tUne71N4utbcrxPZaRAYkPz8/0p/fulEBt548mDnLV/PTJz5mTcJHOo8lUbeX6Ki9Tepul9rbpfZ2hdhei8iAZML50kO7Nufqw/ox+otF3PD6F1GPY0YmtJdoqL1N6m6X2tul9naF2D4e9QBSf95nxpG/k0d0YcqcFdwyagb92jfh4P7toh4p62VKe2l4am+Tutul9napvV0htteRyIDk5uZGPcI6Vx/Wj8Gdm/KLpybpQjsNIJPaS8NSe5vU3S61t0vt7QqxvRaRAcmk86Xz4zncdsoQSvLjnPPgBJaXV0U9UlbLpPbSsNTeJnW3S+3tUnu7QmyvRWRAysvLox7he9o0LuC2U4Ywb8VqLn5MF9pJp0xrLw1H7W1Sd7vU3i61tyvE9lpEBiSRSEQ9wg8M6dKMPx6+A+98tZjrXtOFdtIlE9tLw1B7m9TdLrW3S+3tCrG9LqwTkHg8M3OdMLwzk+es4PYxM+jXvjGHDmwf9UhZJ1PbS/qpvU3qbpfa26X2doXYXkciA1JQUBD1CBv1+0P7MbRLMy5/+lM+m6sL7aRaJreX9FJ7m9TdLrW3S+3tCrG9FpEByeTzpfPiMW49ZTBNCnM556HxLCvThXZSKZPbS3qpvU3qbpfa26X2doXYXovIgGT6+dKtGxVw+6lDWLiykosf+5iaNZk9b0gyvb2kj9rbpO52qb1dam9XiO21iAxILJb5uQZ1asqfjtyBd6cv5tpXp0U9TtYIob2kh9rbpO52qb1dam9XiO3DexenYUVFRVGPUC/HDe3ElDkruOudmezQoQmHD+oQ9UjBC6W9pJ7a26Tudqm9XWpvV4jtw1v2GlZRURH1CPV21Y/6Mrxbcy5/+lOmzFkR9TjBC6m9pJba26Tudqm9XWpvV4jttYgMSE1NTdQj1FtuToxbTx5Mi+I8znlwPItWVUY9UtBCai+ppfY2qbtdam+X2tsVYnstIgMS2vnSLUvyufO0oSwtr+Lch8ZTWbMm6pGCFVp7SR21t0nd7VJ7u9TerhDbhzexYSGeL71DhyZcf+wgJn67nN8+NwXvfdQjBSnE9pIaam+Tutul9napvV0httciMiCVlWGeEnrIgHZcsk8vnp7wHfe8OzPqcYIUanvZdmpvk7rbpfZ2qb1dIbbXIjIg1dXVUY+w1X62Ty8O2qEtf3nlc0Z9sTDqcYITcnvZNmpvk7rbpfZ2qb1dIbbXIjIgzrmoR9hqsZjj+uMG0rttYy559GOmLyyNeqSghNxeto3a26Tudqm9XWpvV4jttYgMSElJSdQjbJOivDh3nTaEvHiMsx8cz4ry8P7VJSqht5etp/Y2qbtdam+X2tsVYnstIgMS4vnS6+vYrIg7Th3Cd8vKueixidSsSUQ9UhCyob1sHbW3Sd3tUnu71N6uENtrERmQqqqqqEdIiaFdm/PnI/rzzleL+fMrn0c9ThCypb1sObW3Sd3tUnu71N6uENvHox5AbDpuWCemzV/FvWNn0qdtI44f1jnqkUREREREpB50JDIgIZ4vvSm/ObgPu/VqyZXPT+Gjb5ZGPU5Gy7b2Un9qb5O626X2dqm9XSG21yIyICEe6t6UeE6Mm08cTKdmRZz30AS+W1Ye9UgZK9vaS/2pvU3qbpfa26X2doXYXovIgIT4B2xzmhTlctfpQ6lak+CsB8ZTVlkT9UgZKRvbS/2ovU3qbpfa26X2doXYXotIiVyPViXcfNJgvlywikuf/IREwkc9koiIiIiIbIQWkQEpLi6OeoS02WO7Vvz2kL68NnUB1/33i6jHyTjZ3F42Te1tUne71N4utbcrxPa6OmtAamqy+1TPM3fpyoxFpdw2egbdWxZz7NBOUY+UMbK9vWyc2tuk7napvV1qb1eI7XUkMiAh3oh0Szjn+MNh/di1Z0t+89xkPvh6SdQjZYxsby8bp/Y2qbtdam+X2tsVYnstIiWj5ObEuOXkwXRuXsR5D0/gm8VlUY8kIiIiIiJ1aBEZkBDPl94aTQpzufeMYTjgzPs/YkV5ddQjRc5Ke/khtbdJ3e1Se7vU3q4Q22sRGZBEIhH1CA2mS4ti7jh1KLOXlXP+IxOoXmNn3zfEUnv5PrW3Sd3tUnu71N6uENtrERmQ1atXRz1CgxrerTl/PWoA781Ywu9emIL3dm/9Ya29/I/a26Tudqm9XWpvV4jtdXVWyWjHDOnI14tKuXX0DHq0KuGs3bpHPZKIiIiIiGlaRAakqKgo6hEi8Yv9ezNzcRl/fuVzurQoZr++baIeqcFZbS9qb5W626X2dqm9XSG21+mskvFiMccNxw2if4cm/PTxj5k6d0XUI4mIiIiImKVFZEDKy8ujHiEyhXk53H3aUJoU5nLWA+NZuLIi6pEalOX21qm9Tepul9rbpfZ2hdhei0gJRuvGBdx9+lBWrK7mrAfHs7pqTdQjiYiIiIiYo0VkQAoLC6MeIXL92jfhxhN2ZPKcFVz21CckEjau2Kr2dqm9Tepul9rbpfZ2hdhei8iAxGLKBbBf3zb85qDteWXyfP722hdRj9Mg1N4utbdJ3e1Se7vU3q4Q24c3sWFlZWVRj5AxztqtGyeP6MztY2bw6Lhvox4n7dTeLrW3Sd3tUnu71N6uENvrFh8SJOccfzisH3OWr+aqF6bQrmkBe/VuHfVYIiIiIiJZT0ciA5Kfnx/1CBklnhPj5pMG07tNIy56ZGJW3/pD7e1Se5vU3S61t0vt7QqxfYMsIp1z+c65e5xzs5xzq5xznzjnDqqzfR/n3DTnXLlzbpRzrst6z73XObfSOTffOXfpet97q58bmnhcB47XV5If594zhtG4MJcz7/+IeStWRz1SWqi9XWpvk7rbpfZ2qb1dIbZvqCORcWA2sAfQBLgSeNI519U51xJ4FrgKaA6MB56o89yrgV5AF2Av4HLn3IEA2/LcEIV4vnRDaNukgHvPGEZZ5Rp+fN9HrKqojnqklFN7u9TeJnW3S+3tUnu7QmzfIItI732Z9/5q7/033vuE9/4lYCYwBDgKmOq9f8p7X0Htwm+gc65P8umnA3/03i/z3n8O3AWckdy2Lc+VLLJ9u8bcevJgvlpYyoWPfkz1mkTUI4mIiIiIZKVI3hPpnGsDbAdMBfoBk9Zu896XATOAfs65ZkC7utuTv++X/P22PDc4eXl5UY+Q0XbfrhV/PmIH3v5yEVc9PwXvs+cekmpvl9rbpO52qb1dam9XiO0b/ARc51wu8AjwgPd+mnOuBFi03petABoBJXU+X38bye1b+9z15zoHOAegY8eOVFRUUFVVRVVVFQDFxcXU1NRQWVm57vNEIsHq1bXvwSsqKgKgvLwcqL1paCwWW3d4Oj8/n3g8vu7zvLw88vLyKC0tXfd5fn4+paWleO/Jzc0lPz+f8vJyEokE8Xgc5xxLly4lkUgQi8UoKiqioqKCmpqadZ9XVlZSXV2Nc46SkhIqKyvX7UNJSUnG7VNBQcG6z1OxT4f3b8WM+Z24673ZtCyAC/fuFfw+FRcXU11dzeLFi7OmUzb+2UvnPlVVVWXdPmVjp1Tu09r/D8qmfcrGTunYp7Wv+Wzap2zslI59qqioIJFIZNU+ZWOndOxTVVUVubm5GbdPm+Ia8miNcy4GPAo0Bg733lc7524Ecr33F9T5usnUnpr6FrAUaOO9X5jcdjRwtfe+/7Y8d1NzDh061I8fPz5Fe506ixcvpmXLllGPkfESCc/PnviEf0+ay00n7shhA9tHPdI2U3u71N4mdbdL7e1Se7sytb1zboL3fuiGtjXY6azOOQfcA7QBjvber736yVRgYJ2vKwZ6UPtex2XAvLrbk7+fmoLnSpaKxRzXHTuA4V2b84snJ/HhzKVRjyQiIiIikjUa8j2RtwHbA4d67+veh+E5YAfn3NHOuQLgd8Cn3vtpye0PAlc655olL5hzNnB/Cp4bnBDPl45KfjyHO04dQsdmhZzz0HhmLCqNeqRtovZ2qb1N6m6X2tul9naF2L6h7hPZBTgXGATMd86VJj9O9t4vAo4G/gwsA0YAJ9R5+u+pvVjOLGAMcJ33/lWAbXluiEK8EWmUmhXncd+PhxFzjh/f9xFLSiujHmmrqb1dam+Tutul9napvV0htm/Q90SGIlPfE7lkyRJatGgR9RjBmTBrGSfd9QHbt2vMY2ePpDAvJ+qRtpja26X2Nqm7XWpvl9rblantM+I9kbLttODfOkO6NOPGE3Zk0nfLufixidQEeA9JtbdL7W1Sd7vU3i61tyvE9lpEBiQ3NzfqEYJ14A5tufrQfrzx+UKuemFqcC9WtbdL7W1Sd7vU3i61tyvE9g1+n0jZeiGeL51JTt+5K/NXVnDb6Bm0b1LAxfv0inqkelN7u9TeJnW3S+3tUnu7QmyvI5EBWXtzUdl6lx/Qm6N27MD1r3/Jk+NnRz1Ovam9XWpvk7rbpfZ2qb1dIbbXkciAJBLhvZcv0zjnuOboASwqreTXz06mVaN89urdOuqxNkvt7VJ7m9TdLrW3S+3tCrG9jkQGJB7Xmj8V8uIxbjtlCH3aNuKChycyafbyqEfaLLW3S+1tUne71N4utbcrxPZaRAakoKAg6hGyRkl+nPt+PIwWJXmcef9HzFpSFvVIm6T2dqm9Tepul9rbpfZ2hdhei8iAhHi+dCZr3aiAB84czhrvOf3eD1lSWhn1SBul9napvU3qbpfa26X2doXYXovIgIR4vnSm69GqhHtOH8a8FRWc+cB4yqtqoh5pg9TeLrW3Sd3tUnu71N6uENtrERmQWEy50mFIl2b868Qdmfzdci569GNq1mTeC1nt7VJ7m9TdLrW3S+3tCrF9eBMbVlRUFPUIWWv/fm354xE78Na0hVz5/BS891GP9D1qb5fa26Tudqm9XWpvV4jttYgMSEVFRdQjZLWTR3Th4r178vhHs7nxza+iHud71N4utbdJ3e1Se7vU3q4Q24d3PVnDamoy8/162eTS/bZj3ooK/vnGV7RqlM/JI7pEPRKg9papvU3qbpfa26X2doXYXovIgIR4vnRonHP89aj+LC2r4srnp9CsKI+D+7eLeiy1N0ztbVJ3u9TeLrW3K8T24U1sWIjnS4coNyfGLScNZnDnZvzs8U94b/riqEdSe8PU3iZ1t0vt7VJ7u0Jsr0VkQCorM/c+htmmMC+He08fRreWxZz94Hgmf7ci0nnU3i61t0nd7VJ7u9TerhDbaxEZkOrq6qhHMKVJUS4PnDmcpkV5nHHfh8xcXBbZLGpvl9rbpO52qb1dam9XiO21iAyIcy7qEcxp26SAh34yHA+ces84FqyM5upZam+X2tuk7napvV1qb1eI7bWIDEhJSUnUI5jUvVUJ9/94GMvKqjjtng9ZUd7w/1qk9napvU3qbpfa26X2doXYXovIgIR4vnS2GNCxKXecOpSvF5fykwc+YnXVmgb9+Wpvl9rbpO52qb1dam9XiO21iAxIVVVV1COYtmuvlvzj+EFM+HYZFz06keo1iQb72Wpvl9rbpO52qb1dam9XiO21iBTZAj8a0J7/O3wH3py2kCuemYz3PuqRREREREQaVDzqAaT+QjxfOhudOrILS0or+ecbX9GyJI9fH7x92n+m2tul9japu11qb5fa2xViex2JDEiIh7qz1U/36cWpI7twx9tfc8eYGWn/eWpvl9rbpO52qb1dam9XiO11JDIgIf4By1bOOa4+rB9Ly6v463+m0bw4j2OHdkrbz1N7u9TeJnW3S+3tUnu7QmyvRaTIVsqJOW44biArV1fzq2c+pVFBnAN3aBf1WCIiIiIiaaXTWQNSXFwc9Qiynvx4DnecOoRBnZpy8WMf8/aXi9Lyc9TeLrW3Sd3tUnu71N6uENtrERmQmpqaqEeQDSjKi3PfGcPp0aqEcx+awIRZS1P+M9TeLrW3Sd3tUnu71N6uENtrERmQEG9EakWTolwe+skI2jTO54z7PuKzuStT+v3V3i61t0nd7VJ7u9TerhDbaxEpkiKtGuXz8FkjKMmPc9q94/h6UWnUI4mIiIiIpJwWkQEJ8Xxpazo2K+Khn4zAezjl7nHMXb46Jd9X7e1Se5vU3S61t0vt7QqxvRaRAUkkElGPIPXQs3UJD5w5nFUVNZxyzzgWl277KQpqb5fa26Tudqm9XWpvV4jttYgMyOrVqTmqJem3Q4cm3PvjYcxdvprT7vmQFaurt+n7qb1dam+Tutul9napvV0httciUiRNhnVtzh2nDuWrhav4yf0fsbpqTdQjiYiIiIhsMy0iA1JUVBT1CLKF9tiuFTeesCMTv13GuQ9PoKpm605XUHu71N4mdbdL7e1Se7tCbK9FpEiaHdy/HdccNYC3v1zEz574mDUJH/VIIiIiIiJbTYvIgJSXl0c9gmyl44Z14qof9eWVyfP59bOfktjChaTa26X2Nqm7XWpvl9rbFWL7eNQDiFjxk127sXJ1NTe++RWFuTlcfVg/nHNRjyUiIiIiskW0iAxIYWFh1CPINvrZvr1YXb2GO9/+moLcHK44qE+9FpJqb5fa26Tudqm9XWpvV4jttYgMSCyms49D55zj1wf1YXXVGu5ILiR/vt92m32e2tul9japu11qb5fa2xVi+/AmNqysrCzqESQFnHP84bB+HDe0Ize++RW3jZ6x2eeovV1qb5O626X2dqm9XSG215FIkQjEYo6/HjWAiuoE1746jcLcGGfs0i3qsURERERENkuLyIDk5+dHPYKkUE7Mcf1xA6msWcPVL35Gfm4OJw7vvMGvVXu71N4mdbdL7e1Se7tCbK/TWQMSj2vNn21yc2LcdOKO7Nm7Fb95bjLPffzdBr9O7e1Se5vU3S61t0vt7QqxvRaRAQnxfGnZvPx4DrefMoSdurfgsicn8crkeT/4GrW3S+1tUne71N4utbcrxPZaRIpkgILcHO46bSiDOzfjksc+5s3PF0Q9koiIiIjIBmkRGZC8vLyoR5A0Ks6Pc++Ph9G3fWPOf3gi73y1aN02tbdL7W1Sd7vU3i61tyvE9lpEBiTEP2CyZRoX5PLgmcPp3qqYsx8cz7ivlwBqb5na26Tudqm9XWpvV4jttYgMSGlpadQjSANoWpTHw2eNoEPTQs68/yMmfrtM7Q1Te5vU3S61t0vt7QqxvRaRIhmoZUk+j549kpaN8jn9ng+ZMi+8/3ERERERkeykRWRAQjzULVuvTeMCHjt7JM2K87j46Wl8+t3yqEeSCOh1b5O626X2dqm9XSG21yIyICHeiFS2TfumhTx2zkgaF+Zyyt3jmDJnRdQjSQPT694mdbdL7e1Se7tCbK9FZEBCPF9atl2HpoXcflwfGhXkcvLd45g6VwtJS/S6t0nd7VJ7u9TerhDbN9gi0jl3kXNuvHOu0jl3f53HT3bOldb5KHfOeefckOT2q51z1et9Tfc6zx/knJuQfN4E59ygOtucc+5a59yS5Me1zjnXUPucat77qEeQiLRrnM/j54ykOC+HU+4ex+fzVkY9kjQQve5tUne71N4utbcrxPYNeSRyLvAn4N66D3rvH/Hel6z9AC4AvgYm1vmyJ+p+jff+awDnXB7wAvAw0Ax4AHgh+TjAOcARwEBgAHAocG66djDdcnNzox5BIpKbm0un5kU8ds5ICnJzOPnucXwxf1XUY0kD0OveJnW3S+3tUnu7QmzfYItI7/2z3vvngSWb+dLTgQd9/ZbkewJx4J/e+0rv/U2AA/au872u995/572fA1wPnLEV42eEEM+XltRY275Li2IeO3skuTmOk+76gK8WaCGZ7fS6t0nd7VJ7u9TerhDbZ9R7Ip1zXYDdgQfX23Soc26pc26qc+78Oo/3Az5db8H5afLxtdsn1dk2qc624JSXl0c9gkSkbvuuLWsXkrGY48S7xjF9YXjn0Uv96XVvk7rbpfZ2qb1dIbaPRz3Aek4D3vHez6zz2JPAncACYATwjHNuuff+MaAEWP8qIyuARsnfr799BVDinHPrH+l0zp1D7emvdOzYkYqKCqqqqqiqqgKguLiYmpoaKisr132eSCRYvXo1AEVFRcD//hAUFhYSi8UoKysDav+FIR6Pr/s8Ly+PvLy8dW+kzcvLIz8/n9LSUrz35Obmkp+fT3l5OYlEgng8TkVFBUuXLiWRSBCLxSgqKqKiooKampp1n1dWVlJdXY1zjpKSEiorK9ftQ0lJScbtU0FBwbrPtU8b36fS0lISicS6z9sUOW47pjfnPvE5J9z5Pg+ctiNtanctmH3Kxk7p2Kdly5aRSCSyap+ysVOq92nlypUkEoms2qds7JSOfVr7ms+mfcrGTunYp2XLlhGLxbJqn7KxUzr2acWKFRQWFmbcPm2Ka+g3cjrn/gR09N6fsYFtXwF/8d7ft4nnXwEM894f7Zz7ObCf9/7gOttfBEZ77693zq1Ibv8wuW1IclujDX7zpKFDh/rx48dvze6l1fLly2natGnUY0gENtb+qwWrOPGuD4g5xxPn7kS3lsUNP5yklV73Nqm7XWpvl9rblantnXMTvPdDN7QtY05ndc7tArQHnt7Ml3pq3/cIMBUYsN4VVwckH1+7fWCdbQPrbAtOQUFB1CNIRDbWvlebRjxy1khqEp4T7/yAbxaXNfBkkm563duk7napvV1qb1eI7RvyFh9x51wBkAPkOOcKnHN1T6c9HXjGe79qvecd7pxrlrxdx3DgEmqvyAowGlgDXOKcy3fOXZR8/K3krw8ClzrnOjjn2gOXAfenY/8aQojnS0tqbKp977aNePTsEVTWrOHEu7SQzDZ63duk7napvV1qb1eI7RvySOSVwGrgCuCU5O+vBEguLo+j9hYd6zsBmA6sonZReK33/gEA730VtbfwOA1YDpwJHJF8HOAO4EVgMjAFeDn5WJDWvidO7Nlc+z5tG/Po2SOprElw/J3v8/UiXWwnW+h1b5O626X2dqm9XSG2b/D3RIYgU98TuXTpUpo3bx71GBKB+rb/Yv4qTrrrA3JijkfPHknP1iUNMJ2kk173Nqm7XWpvl9rblantg3hPpGze2qsyiT31bd+7bSMeP2ckCQ8n3Kn7SGYDve5tUne71N4utbcrxPZaRAakoqIi6hEkIlvSvleb2oVkzNUuJL+Yr4VkyPS6t0nd7VJ7u9TerhDbaxEZkJqamqhHkIhsafuerUt4/JyRxHMcJ971AZ/PW5mmySTd9Lq3Sd3tUnu71N6uENtrERmQzd30U7LX1rTv3qqEJ87Zifx4jBPv+oApc1akYTJJN73ubVJ3u9TeLrW3K8T24U1sWIjnS0tqbG37ri2LeeKcnSjOi3Py3eOY/J0WkqHR694mdbdL7e1Se7tCbK9FZEAqKyujHkEisi3tO7co4vFzRtKoIM7Jd3/ApNnLUzeYpJ1e9zapu11qb5fa2xViey0iA1JdXR31CBKRbW3fqXntQrJpUR6n3D2Oid8uS9Fkkm563duk7napvV1qb1eI7bWIDIhzLuoRJCKpaN+xWe1CsnlJHqfd8yETZi1NwWSSbnrd26Tudqm9XWpvV4jttYgMSEmJbhxvVarat29ayBPn7ESrRvmcds+HfPSNFpKZTq97m9TdLrW3S+3tCrG9FpEBCfF8aUmNVLZv26SAJ84ZSdsmBZx+74e8N31xyr63pJ5e9zapu11qb5fa2xViey0iA1JVVRX1CBKRVLdv3biAx8/ZiU7Nivjx/R8x6ouFKf3+kjp63duk7napvV1qb1eI7bWIFDGqVaN8Hj9nJL3alHDOg+N5dcq8qEcSERERkQBoERmQEM+XltRIV/tmxXk8ctZI+ndowoWPfswLn8xJy8+RrafXvU3qbpfa26X2doXYXovIgIR4qFtSI53tmxTm8tBPRjC8a3N+9sQnPP7ht2n7WbLl9Lq3Sd3tUnu71N6uENtrERmQEP+ASWqku31xfpz7fjyMPbZrxRXPTua+sTPT+vOk/vS6t0nd7VJ7u9TerhDbaxEpIgAU5OZwx6lDOKBfG/7w4mfcMmp61COJiIiISAbSIjIgxcXFUY8gEWmo9vnxHG45aTCHD2rPda99wfX//QLvfYP8bNkwve5tUne71N4utbcrxPbxqAeQ+qupqYl6BIlIQ7aP58S44bhBFObm8K+3plNetYYrD9ke51yDzSD/o9e9Tepul9rbpfZ2hdheRyIDEuKNSCU1Grp9TszxlyP7c8bOXbnn3Zlc+fwUEgkdkYyCXvc2qbtdam+X2tsVYnsdiRSRDYrFHL8/tC+FeTncNnoGq6vX8LejBxDP0b89iYiIiFimRWRAQjxfWlIjqvbOOS4/oDdFuTlc//qXVFYn+Mfxg8iLayHZUPS6t0nd7VJ7u9TerhDbaxEZkEQiEfUIEpEo2zvnuHifXhTk5vDnVz6nrKqG204eQmFeTmQzWaLXvU3qbpfa26X2doXYfrOHE5xzg51zVznnnnbOvZH89Srn3NCGGFD+Z/Xq1VGPIBHJhPZn796dvx7VnzFfLuK0e8exsqI66pFMyIT20vDU3S61t0vt7Qqx/UYXkc65A5xz44HHgE7AWODx5K+dgEecc+Odcwc2yKQiErkTh3fmXyfuyCezl3PCHR+wuDS8N4KLiIiIyLbZ1OmsZwPne+8/2tgXOOeGAb8CXk31YPJDRUVFUY8gEcmk9j8a0J6S/DjnPTyB425/n4fOGkGHpoVRj5W1Mqm9NBx1t0vt7VJ7u0Jsv9Ejkd77Yza1gEx+zUfe+2NSP5aIZLI9e7fm4Z+MYFFpJcfe9h4zFpVGPZKIiIiINJAtusSic66xc6593Y90DSY/VF5eHvUIEpFMbD+0a3OeOGcnqtYkOPb295kyZ0XUI2WlTGwv6afudqm9XWpvV4jt67WIdM7t65z7GlgGfFfnY3YaZxORDNe3fWOeOm9nCnNzOPHODxj39ZKoRxIRERGRNKvvkch7gL8ATYDcOh95aZpLNqCwUO87syqT23drWczT5+9E68b5nHbvh4yatjDqkbJKJreX9FF3u9TeLrW3K8T29V1EFgD3ee9Lvfdr6n6kczj5vlhMN3i3KtPbt2tSyJPn7sR2bRpx9oPjeeGTOVGPlDUyvb2kh7rbpfZ2qb1dIbav78T/AC53zrl0DiObVlZWFvUIEpEQ2rcoyefRs0cwpEszfvbEJzz8wayoR8oKIbSX1FN3u9TeLrW3K8T29V1EPkPtLT9WOOe+rvuRxtlEJDCNCnJ54Mzh7N27NVc+P4VbRk3Hex/1WCIiIiKSQpu6T2RdTwPvAE8Bq9M3jmxKfn5+1CNIREJqX5Cbw+2nDuGXT03iute+YFlZFb85eHtiMZ3IsDVCai+po+52qb1dam9XiO3ru4jsBuzovU+kcxjZtHi8vrkk24TWPjcnxg3HDaJpUR53vzuTJWVV/O2YAeTmhHfOf9RCay+poe52qb1dam9XiO3r+ze6F4C90zmIbF6I50tLaoTYPhZz/P7QvvzygN489/EcznpgPOVVNVGPFZwQ28u2U3e71N4utbcrxPb1XfbmA/92zr0DLKi7wXt/WsqnEpGs4Jzjwr160qI4j988N5kT7xrHfWcMo3mx7g4kIiIiEqr6LiKnJj8kQnl5+ou3VaG3P2F4Z5oX53HxYx9zzO3v8eCZw+nYrCjqsYIQenvZOupul9rbpfZ2hdje6cqJPzR06FA/fvz4qMf4gYqKCgoKCqIeQyKQLe0/nLmUsx74iMK8HB48cwS92zaKeqSMly3tZcuou11qb5fa25Wp7Z1zE7z3Qze0baPviXTODaznN6/X18m2Ky0tjXoEiUi2tB/erTlPnrcTAMfe/h4ffbM04okyX7a0ly2j7napvV1qb1eI7Td1YZ1bnHOvOOdOdM61r7vBOdfOOXeCc+4V4Ob0jigi2aRP28Y8c/7OtGyUzyl3j+P1zxZs/kkiIiIikjE2uoj03u8K3AqcDEx3zq1yzs11zq0CvgJOAG723u/WMKNKiOdLS2pkW/uOzYp4+ryd6dOuMec+NJ7HP/w26pEyVra1l/pRd7vU3i61tyvE9pu8sI73/iXgJedcLtALaAosA6Z776vTP57UFeKNSCU1srF98+I8Hj1rBOc/MpErnp3MkrIqLtizB865qEfLKNnYXjZP3e1Se7vU3q4Q29frPpHe+2rv/Wfe+/e8959rARmNEM+XltTI1vbF+XHuPm0oRwxqz3WvfcEfXvyMREIX+6orW9vLpqm7XWpvl9rbFWL7+t7iQzKArqRrVza3z4vHuOG4QbQoyeeed2eyaFUl1x83kILcnKhHywjZ3F42Tt3tUnu71N6uENtrERmQ3NzcqEeQiGR7+1jMceUh29OmcT5/eWUai1ZVcudpQ2haFN57BFIt29vLhqm7XWpvl9rbFWL7ep3OKpkhxPOlJTUstHfOcc7uPbjpxB35ZPZyjrn9fb5bVh71WJGz0F5+SN3tUnu71N6uENtv0SLSOdfJOTcyXcPIppWX6y/UVllqf9jA9jxw5nAWrKzgyFvfY8qcFVGPFClL7eV/1N0utbdL7e0KsX29FpHOuc7OubHANOCN5GPHOOfuTudw8n2JRCLqESQi1trv1KMFz5y/M7kxx/F3vM/bXy6KeqTIWGsvtdTdLrW3S+3tCrF9fY9E3gG8DDQC1l6Z9XVgv3QMJRsWj+strFZZbL9dm0Y8d+EudG5RzJn3f8RT42dHPVIkLLYXdbdM7e1Se7tCbF/fReRw4BrvfQLwAN77FUCTdA0mP1RQUBD1CBIRq+3bNC7gyXNHMrJ7C3759Kfc9OZXQV7BbFtYbW+dutul9napvV0htq/vInIB0LPuA865vsC3KZ9INirE86UlNSy3b1SQy71nDOOowR244fUv+fWzk6lZE95pH1vLcnvL1N0utbdL7e0KsX19j53+HXjJOfdXIO6cOxH4DXBN2iaTHwjxfGlJDevt8+Ixrj92IB2aFvKvt6azYGUFN580mOL88E7/2FLW21ul7napvV1qb1eI7et1JNJ7fy/wS+BYYDZwOnCV9/6RNM4m64nFdEcWq9S+9hYgl+3fm78c2Z+3v1rMCXd+wKJVlVGPlXZqb5O626X2dqm9XSG2r/fE3vsXvPcHe+/7ee8P9N4/n8a5ZAOKioqiHkEiovb/c9KIztx12hCmLyzlqNvGMmNRadQjpZXa26Tudqm9XWpvV4jt63uLjzM38nGyc24P59xm75DpnLvIOTfeOVfpnLu/zuNdnXPeOVda5+OqOtvznXP3OudWOufmO+cuXe/77uOcm+acK3fOjXLOdanvc0NTUVER9QgSEbX/vr37tOGJc0eyumoNR936HuO+XhL1SGmj9japu11qb5fa2xVi+/q+oeg0YCdqL7DzHdARaAOMB7oCOOcO996P38T3mAv8CTgAKNzA9qbe+5oNPH410AvoArQFRjnnPvPev+qcawk8C5wFvAj8EXgCGLm559ZrrzNMTc2G/vOIBWr/QwM6NuW5C3bhjPs+5JR7xnHt0QM4anDHqMdKObW3Sd3tUnu71N6uENvX93TWqcAvvfedvfc7e+87A5cBH1O7oLwN+NemvoH3/tnkKbBbesjgdOCP3vtl3vvPgbuAM5LbjgKmeu+f8t5XULtoHOic61OP5wYnxPOlJTXUfsM6NS/i2fN3YVjX5lz65CT+8fqXWXcLELW3Sd3tUnu71N6uENvXd+KTgJvXe+w24GRf+ze264C+2zjLLOfcd865+5JHGHHONQPaAZPqfN0koF/y9/3qbvPelwEzgH71eG5wQjxfWlJD7TeuSVEu9/94OMcO6ciNb37Fz5/4hMqaNVGPlTJqb5O626X2dqm9XSG2r+/prAuAQ4EX6jx2CLAw+fsCoHorZ1gMDAM+AVoAtwCPUHvaa0nya1bU+foVQKPk70uARet9v7XbN/fc73HOnQOcA9CxY0cqKiqoqqqiqqoKgOLiYmpqaqisrFz3eSKRYPXq1cD/4q+9z0thYSGxWIyysjIA8vPzicfj6z7Py8sjLy+P0tLSdZ/n5+dTWlqK957c3Fzy8/MpLy8nkUgQj8eprq5e93ksFqOoqIiKigpqamrWfV5ZWUl1dTXOOUpKSqisrFy3DyUlJRm3TwUFBdqneuzT8uXLyc3Nzap9SnWn//vRdrQqhFvf/Y5vl5Ry60mDyE1UBb1PeXl5zJ8/n5KSkqzplI1/9tKxT4sXL6agoCCr9ikbO6VjnxYuXEhJSUlW7VM2dkrHPq1cuZKmTZtm1T5lY6d07FNpaSlt2rTJuH3aFFefU7+cc/sDTwFTqL3FRydgB+BY7/1/k9t38t7/oR7f609AR+/9GRvZ3haYBzSmdpG7FGjjvV+Y3H40cLX3vr9z7kYg13t/QZ3nT6b2tNa3NvXcTc04dOhQP378pt7eGY3FixfTsmXLqMeQCKh9/b04aS6XPTWJDk0LufeMYXRrWRz1SNtE7W1Sd7vU3i61tytT2zvnJnjvh25oW33vE/lfoDtwO7Xvg7wD6J58HO/9f+uzgKyntavamPd+GbULyoF1tg+k9j2aJH9dt805Vwz0oPZ9kpt7bnCcc1GPIBFR+/o7dGB7Hjt7BCtWV3PkrWP5cObSqEfaJmpvk7rbpfZ2qb1dIbbfkvtELvHeP+S9v9Z7/6D3fosukOOcizvnCoAcIMc5V5B8bIRzrrdzLuacawHcBIz23q89DfVB4ErnXLPkBXPOBu5PbnsO2ME5d3Tye/8O+NR7P60ezw1OSUnJ5r9IspLab5khXZrz3AU707w4j1PuHsfzH8+JeqStpvY2qbtdam+X2tsVYvv63ieym3PuUefcZ865b+t+bMHPuhJYDVwBnJL8/ZXUHuF8FVhF7emylcCJdZ73e2ovljMLGANct/YWHd77RcDRwJ+BZcAI4IT6PDdEa8+RFnvUfst1aVHMs+fvzI6dm/KzJz7hxje+CvLKrWpvk7rbpfZ2qb1dIbav74V1HqV2MXYZUL41P8h7fzW171XckMc28bxK4Mzkx4a2vwH02ci2TT43NGvfiCv2qP3WaVqUx0M/GcEVz37KP974kllLyvjr0f3Jj+dEPVq9qb1N6m6X2tul9naF2L6+i8h+wC7e+0Q6hxERSbW8eIzrjx1ItxbFXP/6l3y3fDW3nzKE5sV5UY8mIiIiEqT6vifybWDHdA4imxfi+dKSGmq/bZxzXLxPL248YRCfzF7OEbeM5asFq6Ieq17U3iZ1t0vt7VJ7u0JsX99F5DfAq865O51z/1f3I42zyXpCPNQtqaH2qXH4oA48fs5IyqvWcNSt7zH6i4Wbf1LE1N4mdbdL7e1Se7tCbF/fRWQx8BKQS+09Iut+SAMJ8Q+YpIbap87gzs144aJd6Ni8iDPv/4h7352Z0RfcUXub1N0utbdL7e0KsX293hPpvf9xugcREWkoHZoW8vR5O/GzJz7h/176jK8WlvJ/h/cjN6fedz0SERERMWuL/sbknGuUvN1H97Uf6RpMfqi4uDjqESQiap96xflx7jhlCOfv2YPHPvyW0+75kGVlmfcvgWpvk7rbpfZ2qb1dIbav730i+zrnPgZWANOTH18lP6SB1NTURD2CRETt0yMWc/zqwD7ccNxAJsxaxpG3jmX6wtKox/oetbdJ3e1Se7vU3q4Q29f3SOStwCigObASaAbcAZyeprlkA0K8Eamkhtqn11GDO/LYOSNYVVHDkbeO5e0vF0U90jpqb5O626X2dqm9XSG2r+8iciDwK+/9csB571cAvwT+mK7BREQa0pAuzXnhol3o0LSQH9//EQ+8903UI4mIiIhkpPouIiuovTIrwGLnXOfkc1ukZSrZoBDPl5bUUPuG0bFZEU+fvzN79W7F7/89lSufn0z1mkSkM6m9Tepul9rbpfZ2hdi+vovId4Djkr9/GvgPMAZ4Kx1DyYYlEtH+ZVaio/YNpyQ/zh2nDuXcPbrz8AffcsZ9H7K8PLoL7qi9Tepul9rbpfZ2hdi+XotI7/1x3vv7k5/+BrgGuAs4KU1zyQasXr066hEkImrfsHJijl8ftD3XHTOAj2Yu47Cbx/LlglWRzKL2Nqm7XWpvl9rbFWL7Lb4pmvc+4b1/CLgH0P0jRSRrHTu0E4+dM5LV1Ws48paxvDZ1ftQjiYiIiERus4tI59w+zrnLnHOHJz+PO+cuAWYC56V7QPmfoqKiqEeQiKh9dIZ0acaLF+1Kz9YlnPvQBG584ysSCd9gP1/tbVJ3u9TeLrW3K8T2m1xEOud+BbxA7fshH3HO/Q14DzgWOMd73z/9I4qIRKttkwKeOHcnjhrcgX+88SUXPDKRssrw7ukkIiIikgqbOxJ5LrCH934EsC9wGfCo93437/3LaZ9Ovqe8vDzqESQiah+9gtwcrj92IFf9qC///Ww+R936Ht8uSX8XtbdJ3e1Se7vU3q4Q229uEdnSez8BwHv/AVAJ3Jj2qUREMpBzjp/s2o0HzhzO/JUVHHbLu4ydvjjqsUREREQaVH3eE+mcczHnXA6194sk+XnMObfFF+aRrVdYWBj1CBIRtc8su/VqxQsX7kKrknxOu/dD7n13Jt6n532Sam+Tutul9napvV0htt/cIrAEqAGqgSqgaZ3P1/4qDSQW05rdKrXPPF1bFvPchbuwT5/W/N9Ln/HLpz+lonpNyn+O2tuk7napvV1qb1eI7Tc3cTege52Pbhv4vTSQsrKyqEeQiKh9ZirJj3P7KUP46T69eHrCd5xw5wcsWFmR0p+h9japu11qb5fa2xVi+/imNnrvZzXUICIiIYrFHD/fbzu2b9eIS5+cxKH/epfbThnCkC7Noh5NREREJC3CO3ZqWH5+ftQjSETUPvMduEM7nr1gZwpyczjhzvd5+INZKXmfpNrbpO52qb1dam9XiO21iAxIPL7JA8eSxdQ+DH3aNubFi3Zll54tufL5KVyegvdJqr1N6m6X2tul9naF2F6LyICEeL60pIbah6NJUS73nD6MS/buyVMTvuPY29/nu2Vbf/8ntbdJ3e1Se7vU3q4Q29fnFh85zrkZzrnwjrOKiEQgJ+a4dP/e3H3aUL5ZXMah/3qXd7/S/SRFREQkO2x2Eem9XwOsAQrSP45sSl5eXtQjSETUPkz79m3DCxftQsuSfE67dxy3j5mxxe+TVHub1N0utbdL7e0KsX19T2f9J/Ckc24P51wP51z3tR9pnE3WE+IfMEkNtQ9X91YlPH/hLhy0Qzuu+c80Lnx0IqWVNfV+vtrbpO52qb1dam9XiO3ru4i8GdgPGAV8BUxPfnyVprlkA0pLS6MeQSKi9mErzo9z80k78puD+/DqlPkccctYZiyqX1O1t0nd7VJ7u9TerhDb12sR6b2PbeQjJ90DiohkA+cc5+zeg4d/MoKlZVUccfNY/jt1ftRjiYiIiGyxLbo6q3Ouk3NuZLqGkU0L8VC3pIbaZ4+de7bkxYt3pVurYs55aALX//cL1iQ2/j5JtbdJ3e1Se7vU3q4Q29drEemc6+ycGwtMA95IPnaMc+7udA4n3xfijUglNdQ+u3RoWsiT5+7EcUM78q+3pnPm/R+xvLxqg1+r9japu11qb5fa2xVi+/oeibwDeBloBFQnH3ud2vdJSgMJ8XxpSQ21zz4FuTlce/QA/nJkf96bsZhDbnqXSbOX/+Dr1N4mdbdL7e1Se7tCbF/fReRw4BrvfQLwAN77FUCTdA0mP7SltwaQ7KH22ck5x0kjOvP0eTsDcOzt7/PQ+998r7fa26Tudqm9XWpvV4jt67uIXAD0rPuAc64v8G3KJ5KNys3NjXoEiYjaZ7eBnZry0sW7skvPFlz1wlR+9sQnlCVvA6L2Nqm7XWpvl9rbFWL7+i4i/w685Jz7MRB3zp0IPAFcm7bJ5AdCPF9aUkPts1+z4jzuOX0YvzygNy9Omsvht4xl+sJVam+Uutul9napvV0htq/vLT7uBX4JHAvMBk4DrvLeP5LG2WQ95eXlUY8gEVF7G2Ixx4V79eShn4xgWVkVh908lmfH64QPi/Sat0vt7VJ7u0JsX9+rs+Z471/w3h/sve/nvT/Ie/98mmeT9SQSiahHkIiovS279GzJy5fsRt92jfnNS19x1fNTqKxZE/VY0oD0mrdL7e1Se7tCbF/f01nnO+dudc7tktZpZJPi8XjUI0hE1N6etk0KeOyckZw2vD0PfTCL425/n++WhfcvlbJ19Jq3S+3tUnu7Qmxf30Xk/kAp8JhzbqZz7q/Ouf5pnEs2oKCgIOoRJCJqb1NuTozfHLw9t58ymK8XlXHITe8yatrCqMeSBqDXvF1qb5fa2xVi+/q+J/Jj7/3l3vvOwBlAM+At59yn6RxOvi/E86UlNdTervLycg7coR0vXrwr7ZsW8uP7P+Lvr33BmkR4lwOX+tNr3i61t0vt7QqxfX2PRNY1Dfic2tt7dE3pNLJJIZ4vLamh9natbd+1ZTHPXbAzxw3tyM2jpnPqPeNYtKoy4ukkXfSat0vt7VJ7u0JsX98L6zR1zv3EOfcm8DWwJ7W392idxtlkPbHY1qz5JRuovV112xfk5vC3Ywbyt6MHMGHWMg668R3em744wukkXfSat0vt7VJ7u0JsX9+J5wInAo8CHbz3R3rvn/TeV6RvNFlfUVFR1CNIRNTerg21P25YJ164aBeaFMY5+Z5x3PD6lzq9NcvoNW+X2tul9naF2L6+i8ge3vt9vff3eO+Xp3Mg2biKCq3ZrVJ7uzbWvk/bxrx48a4ctWNHbnrzK06++wMWrNSfk2yh17xdam+X2tsVYvv6XlhnnnNuT+fcvc6515K/7pXu4eT7ampqoh5BIqL2dm2qfVFenOuPG8jfjx3IpNkrOPjGdxjz5aIGnE7SRa95u9TeLrW3K8T29X1P5FnAk8B84FlgHrW3+zg7jbPJekI8X1pSQ+3tqk/7Y4Z05MWLd6FlST6n3/sh1746jZo14b1JX/5Hr3m71N4utbcrxPb1vbPl5cB+3vtJax9wzj0BPAPclY7B5IdCPF9aUkPt7apv+56tG/HCRbvwhxenctvoGXw0cyk3nbgj7ZsWpnlCSQe95u1Se7vU3q4Q29d32dsC+Gy9x74Amqd2HNmUykpdzt8qtbdrS9oX5Obw16MGcOMJg/h83koOvukd3vx8QRqnk3TRa94utbdL7e0KsX19F5HvAjc454oAnHPFwHXAe+kaTH6ouro66hEkImpv19a0P3xQB166ZDfaNynkJw+M508vfUZVjU5vDYle83apvV1qb1eI7eu7iDwPGAiscM4tAJYnPz83TXPJBjjnoh5BIqL2dm1t+24ti3n2gp05bacu3P3uTI69431mLy1P8XSSLnrN26X2dqm9XSG2r/fVWb33uwPdgEOBbt77Pbz3c9M6nXxPSUlJ1CNIRNTerm1pX5Cbw/8dvgO3njyYrxeWcvBN7/Dyp/NSOJ2ki17zdqm9XWpvV4jt63t11lbOuRLv/XfABGA/59xpzrnwLiUUsBDPl5bUUHu7UtH+4P7tePmS3ejeqoQLH53Ir57+lPKq8C4nbole83apvV1qb1eI7eu7CHwJ6JX8/Z+BXwCXAtenYyjZsKqqqqhHkIiovV2pat+5RRFPn7cTF+zZgycnzOZH/3qXKXNWpOR7S+rpNW+X2tul9naF2L6+i8jtgE+Svz8FOAjYGzihvj/IOXeRc268c67SOXd/ncdHOuded84tdc4tcs495ZxrV2f71c65audcaZ2P7nW2D3LOTXDOlSd/HVRnm3POXeucW5L8uNaFeNKxiEgK5ObEuPzAPjzykxGUVdZw1K3vcfc7X5NI+KhHExERkYDUdxG5BshzzvUHVnjvv6X24jpbcgLvXOBPwL3rPd4MuBPoCnQBVgH3rfc1T3jvS+p8fA3gnMsDXgAeTn6fB4AXko8DnAMcQe1FgAZQ+37OYC8GFOL50pIaam9XOtrv3LMl//np7uy+XSv+9PLn/Pj+j1i0KrxTabKZXvN2qb1dam9XiO3ru4j8D/AkcBvwePKxvsCc+v4g7/2z3vvngSXrPf4f7/1T3vuV3vty4GZgl3p+2z2BOPBP732l9/4mwFF7lBTgdOB67/133vs51J5+e0Z9Z840IR7qltRQe7vS1b55cR53nTaEPx7ej/e/XsJBN77DmC8XpeVnyZbTa94utbdL7e0KsX19F5FnAS8D9wB/TT7WErg6DTPtDkxd77FDk6e7TnXOnV/n8X7Ap977uudifZp8fO32SXW2TaqzLTgh/gGT1FB7u9LZ3jnHqTt15d8X7ULz4lxOv/dD/vTSZ1TWrEnbz5T60WveLrW3S+3tCrF9vD5f5L2vpPaUUwCcc4XA+8nHU8Y5NwD4HXB4nYefTP7sBcAI4Bnn3HLv/WPUnk67/pUhVgCNkr9ff/sKoMQ559ZbeOKcO4fa01/p2LEjFRUVVFVVrYtaXFxMTU3NuqsnFRcXk0gkWL16NQBFRUUAlJfX3oetsLCQWCxGWVkZAPn5+cTj8XWf5+XlkZeXR2lp6brP8/PzKS0txXtPbm4u+fn5lJeXk0gkiMfjVFVVsXTpUhKJBLFYjKKiIioqKqipqVn3eWVlJdXV1TjnKCkpobKyct0+lJSUZNw+FRQUrPtc+7TxfSovL2fx4sVZtU/Z2Ckd+7RixYq071PLeBX3nrA9t743l7vfnck7Xy7gzz/qSb9OLdUpon1a+/2yaZ+ysVM69mntaz6b9ikbO6Vjn1asWJF1+5SNndKxTytWrMjIfdoUt95aasNf5NzfgSe99x865w4BngY8cLz3/sXNfoPvf68/AR2992es93hPYAxwhff+oU08/wpgmPf+aOfcz4H9vPcH19n+IjDae3+9c25FcvuHyW1DktsabfCbJw0dOtSPHz9+S3arQaxevZrCwsKox5AIqL1dDd3+v1Pnc/kzn1JZneAPh/Xj2KEdg7wJcuj0mrdL7e1Se7sytb1zboL3fuiGttX3dNaTgSnJ3/+O2iu0Hgb8ZdvHA+dcF+AN4I+bWkAmeWrf9wi1p70OWO+KqwP43+mwU6m9qM5aA/nhqbLBqKnRfd2sUnu7Grr9/v3a8upPd2dQp6Zc/synXPTYx6wor27QGUSvecvU3i61tyvE9vVdRBZ578udcy2A7t77Z7z3b1B7NdV6cc7FnXMFQA6Q45wrSD7WAXgLuNl7f/sGnne4c65Z8nYdw4FLqL0iK8Boaq8ce4lzLt85d1Hy8beSvz4IXOqc6+Ccaw9cBtxf35kzTYg3IpXUUHu7omjftkkBD581gl8e0JvXpsznwBvf5r0Zixt8Dsv0mrdL7e1Se7tCbF/fReSXzrmTgYuA1wGccy2B1Vvws65Mfv0V1B7JXJ187CygO3B13XtB1nneCcB0am/98SBwrff+AQDvfRW1t/A4jdpbjpwJHJF8HOAO4EVgMrVHUl9OPiYiIpuQE3NcuFdPnjl/Zwpzczj57nH8+WVddEdERETq/57IYcCNQDVwpvd+RnJReaD3/tQ0z9jg9J5IyTRqb1cmtC+vquHPL3/OI+O+pU/bRvzzhEH0ads40pmyXSZ0l2iovV1qb1emtt/m90R67z/y3u/svd/Dez8j+dgj2biAzGSJRCLqESQiam9XJrQvyovz5yP7c+8ZQ1lcWslhN4/lnndnkkhs/h8hZetkQneJhtrbpfZ2hdi+vqez4pzb0zl3r3PuteSve6VzMPmhtZf4FXvU3q5Mar93nza8+rPd2b1XK/740meceu845q3InPmySSZ1l4al9napvV0htq/XItI5dxa192ucDzwLzAMec86dncbZREQkw7Qsyeeu04bw16P6M3HWcg785zu89OncqMcSERGRBhSv59ddTu39FietfcA59wTwDHBXOgaTH1p7k1GxR+3tysT2zjlOHN6Zkd1b8LMnPuGiRz/mrc8XcvXh/WhckBv1eFkhE7tLw1B7u9TerhDb1/d01hbAZ+s99gXQPLXjiIhIKLq1LObp83bip/v04oVJcznon+/w4cylUY8lIiIiaVbfReS7wA3OuSIA51wxcB3wXroGkx8qLy+PegSJiNrblentc3Ni/Hy/7XjqvJ2I5ziOv/N9rn11mm4Fso0yvbukj9rbpfZ2hdi+vovI84ABwArn3AJq78k4EDg3TXOJiEhABnduxiuX7MbxQztx2+gZHH7zWD6buzLqsURERCQNNruIdM7lAAcBBwDdgEOBbsnbfehqCg0oE+8fIw1D7e0KqX1xfpxrjh7A3acNZXFpFYff8i63jJpOzZrwLl0etZC6S2qpvV1qb1eI7Te7iPTerwFu8N5XeO+/895/6L3/rgFmk/XEYvW+I4tkGbW3K8T2+/Ztw+s/3539+7Xlute+4Jjb32fGotKoxwpKiN0lNdTeLrW3K8T29Z34RefcoWmdRDarrKws6hEkImpvV6jtmxXncctJg/nXiTvyzZIyDrnpHe4bO5NEwkc9WhBC7S7bTu3tUnu7Qmxf31t8FABPO+feB2YD6/4W4L0/LR2DiYhI+A4d2J4R3ZpzxbOT+cOLn/Ha1Plcd8xAOjUP73LmIiIiUqu+RyKnAH8BRgHTgRl1PqSB5OfnRz2CRETt7cqG9q0bF3DP6UP529EDmDJnJQfd+A5PfPQt3uuo5MZkQ3fZOmpvl9rbFWL7eh2J9N7/Id2DyObF4/U9cCzZRu3typb2zjmOG9aJnXq04PKnP+VXz0zmtakLuOao/rRuXBD1eBknW7rLllN7u9TerhDbb/JIpHNuF+fctRvZdo1zbmR6xpINCfF8aUkNtbcr29p3al7EI2eN4OpD+/LejMXs94+3+fckXeh7fdnWXepP7e1Se7tCbL+501l/A7y9kW1jgN+mdhwREcl2sZjjjF268colu9GtZTGXPPYxFz46kSWllVGPJiIiIvWwuUXkIODVjWx7HRiS0mlkk/Ly8qIeQSKi9nZlc/vurUp4+ryd+OUBvfnv1Pns/4+3efnTeVGPlRGyubtsmtrbpfZ2hdh+c4vIxsDG9ioXaJTacWRTQvwDJqmh9nZle/t4TowL9+rJSxfvRodmhVz46ETOf3gCi1bZPiqZ7d1l49TeLrW3K8T2m1tETgP238i2/ZPbpYGUlupm3VapvV1W2vdu24hnz9+ZXx3YhzenLWT/f4zhhU/mmL2Cq5Xu8kNqb5fa2xVi+80tIv8B3OGcO8o5FwNwzsWcc0cBtwM3pHtAERGxIZ4T4/w9e/DKJbvStWUxP338E859aAILV1VEPZqIiIjUsclFpPf+UeBvwANAhXNuLlCR/Pw67/1j6R9R1grxULekhtrbZbF9z9aNePq8nfntwdsz5stF7HfD2zw78TtTRyUtdpdaam+X2tsVYntXn/9Tds41BnYCWgBLgPe99yvTPFtkhg4d6sePHx/1GD9QWVkZ5M1IZdupvV3W23+9qJTLn/6U8bOWsU+f1vz5yP60bZL995W03t0ytbdL7e3K1PbOuQne+6Eb2ra501kB8N6v9N6/5r1/NPlr1i4gM1mI50tLaqi9Xdbbd29VwhPn7sTvftSXsTMWs98/xvDk+NlZf1TSenfL1N4utbcrxPb1WkRKZsj2vzTJxqm9XWoPOTHHmbt249Wf7s727Rpz+dOfcsZ9HzF3+eqoR0sbdbdL7e1Se7tCbK9FZEByc3OjHkEiovZ2qf3/dG1ZzONnj+QPh/Xjo2+Wsv8/3uahD2aRSIT3f76bo+52qb1dam9XiO21iAxIJp4rLQ1D7e1S+++LxRyn79yV1362O4M6NeWq56dw/J3vM31heKcCbYq626X2dqm9XSG21yIyIOXl5VGPIBFRe7vUfsM6NS/ioZ8M5+/HDuTLBaUcfOM73PzWV1TVJKIeLSXU3S61t0vt7QqxvRaRAUkksuMvR7Ll1N4utd845xzHDOnIG5fuwf792vD3/37JYTe/yyezl0c92jZTd7vU3i61tyvE9lpEBiQej0c9gkRE7e1S+81r1Sifm08azN2nDWV5eTVH3TqWP770GeVVNVGPttXU3S61t0vt7QqxvRaRASkoyP57o8mGqb1dal9/+/Ztw+uX7s7JI7pwz7sz2f8fbzPmy0VRj7VV1N0utbdL7e0Ksb0WkQEJ8XxpSQ21t0vtt0yjglz+eMQOPHXeTuTHY5x+74dc+sQnLCurinq0LaLudqm9XWpvV4jttYgMSIjnS0tqqL1dar91hnVtzsuX7MYle/fk35Pmsu8NY3jhkznB3ItL3e1Se7vU3q4Q22sRGZBYTLmsUnu71H7rFeTmcOn+vXnpkl3p2LyInz7+CT95YDxzlq+OerTNUne71N4utbcrxPbhTWxYUVFR1CNIRNTeLrXfdn3aNubZ83fmdz/qy/szlrDfDWO4+52vqVmTuf/yq+52qb1dam9XiO21iAxIRUVF1CNIRNTeLrVPjZyY48xdu/H6pbszsnsL/vTy5xx289iMvR2Iutul9napvV0httciMiA1NeFerl62jdrbpfap1bFZEfecPpTbTh7MkrJKjrx1LL97YQorK6qjHu171N0utbdL7e0Ksb0WkQEJ8XxpSQ21t0vtU885x0H92/HGpXtw+k5defiDWex7/Rhe/nRexlx4R93tUnu71N6uENuHN7FhIZ4vLamh9napffo0Ksjl6sP68fyFu9C6cT4XPjqRM+//iNlLo7/UurrbpfZ2qb1dIbbXIjIglZWVUY8gEVF7u9Q+/QZ0bMrzF+zC737Ulw9nLmW/f4zhttEzqI7wwjvqbpfa26X2doXYXovIgFRXZ9Z7dqThqL1dat8w4jkxzty1G29ctgd7bNeKa1+dxo9uepcJs5ZGMo+626X2dqm9XSG21yIyIM65qEeQiKi9XWrfsNo1KeSOU4dy12lDWVVRzdG3vc+vn53MivKG/T94dbdL7e1Se7tCbK9FZEBKSkqiHkEiovZ2qX009uvbhtcv3YOzd+vGk+Nns88No3l24ncNduEddbdL7e1Se7tCbK9FZEBCPF9aUkPt7VL76BTnx/ntIX3590W70LFZEZc+OYnj7/yAL+avSvvPVne71N4utbcrxPZaRAakqqoq6hEkImpvl9pHr1/7Jjx7/s5cc1R/vlqwioNveoc/vfQZq9J4b0l1t0vt7VJ7u0Jsr0WkiIjIZsRijhOGd+aty/bkuKGduGfsTPa5fgz/njQ3Y+4tKSIi0lC0iAxIiOdLS2qovV1qn1maFefx16P689wFu9CmcQGXPPYxJ989jukLU3uKq7rbpfZ2qb1dIbbXIjIgIR7qltRQe7vUPjMN6tSU5y/chT8dsQNT567kwH++w1//8zlllTUp+f7qbpfa26X2doXYXovIgIT4B0xSQ+3tUvvMlRNznDKyC29dtgdHDe7AHWO+Zt8bxvDK5HnbfIqrutul9napvV0httciUkREZBu0KMnnb8cM5Jnzd6JZUR4XPDKR0+79kK8XlUY9moiISFpoERmQ4uLiqEeQiKi9XWofjiFdmvPvi3bhD4f145PZyzngn29z3WvTKK/a8lNc1d0utbdL7e0Ksb0WkQGpqUnNe20kPGpvl9qHJZ4T4/Sdu/LWZXty6ID23DJqxlZdxVXd7VJ7u9TerhDbaxEZkBBvRCqpofZ2qX2YWjXK54bjB/H0eTvRoiSPSx77mOPv+ICpc1fU6/nqbpfa26X2doXYXotIERGRNBnatTkvXLgrfz2qP9MXlXLov97lt89NZmlZeBdREBERWUuLyICEeL60pIba26X24cuJOU4c3plRl+3J6Tt35fGPZrPX30fzwHvfULMmscHnqLtdam+X2tsVYvsGW0Q65y5yzo13zlU65+5fb9s+zrlpzrly59wo51yXOtvynXP3OudWOufmO+cuTdVzQ5NIbPgvG5L91N4utc8eTYpy+f2h/fjPT3djhw6N+f2/p3LITe/y3ozFP/hadbdL7e1Se7tCbN+QRyLnAn8C7q37oHOuJfAscBXQHBgPPFHnS64GegFdgL2Ay51zB27rc0O0evXqqEeQiKi9XWqffbZr04iHfzKC208ZTFlVDSfdNY4LH5nId8vK132Nutul9napvV0htm+wRaT3/lnv/fPAkvU2HQVM9d4/5b2voHbhN9A51ye5/XTgj977Zd77z4G7gDNS8FwREZFIOOc4cId2vHHpHly633a8OW0B+1w/hn++8SUV1WuiHk9ERGSTMuE9kf2ASWs/8d6XATOAfs65ZkC7utuTv++XgucGp6ioKOoRJCJqb5faZ7eC3Bwu2acXb162J/v1bcM/3/iKfa4fwzvflG7RLUEke+g1b5fa2xVi+3jUAwAlwKL1HlsBNEpuW/v5+tu29bnf45w7BzgHoGPHjlRUVFBVVUVVVe0V9IqLi6mpqVl3Cd7i4mISicS6w89r45eX156OVFhYSCwWo6ysDID8/Hzi8fi6z/Py8sjLy6O0tHTd5/n5+ZSW1v7FITc3l/z8fMrLy0kkEsTjcbz3VFRUkEgkiMViFBUVUVFRQU1NzbrPKysrqa6uxjlHSUkJlZWV6/ahpKQk4/apoKBg3efap43vU1lZ2bqZs2WfsrFTOvZp6dKllJeXZ9U+ZWOnbd2nYiq5ev/OHN63GX8f9S0/f3oqD37wLZfu1YXhPdsGuU/Z2Kkh9mntaz6b9ikbO6Vjn8rLy6mqqsqqfcrGTunYp4qKCpxzGbdPm+Ia+l86nXN/Ajp6789Ifn4jkOu9v6DO10ym9tTUt4ClQBvv/cLktqOBq733/bfluZuacejQoX78+PGp2eEUWrx4MS1btox6DImA2tul9vasSXjuGfU5d74/h8WlVRw1uAOXH9CHtk0Koh5NGoBe83apvV2Z2t45N8F7P3RD2zLhdNapwMC1nzjnioEe1L7XcRkwr+725O+npuC5IiIiGScn5jhqYGtG/WJPztujBy9Nmsdefx/NP9/4kvKqmqjHExERadBbfMSdcwVADpDjnCtwzsWB54AdnHNHJ7f/DvjUez8t+dQHgSudc82SF8w5G7g/uW1bnhucwsLCqEeQiKi9XWpvU2FhIY0KcrnioD68edke7N2nNf984yv2/vsYnp34HYmE3i+ZrfSat0vt7QqxfUMeibwSWA1cAZyS/P2V3vtFwNHAn4FlwAjghDrP+z21F8uZBYwBrvPevwqwLc8N0ebOTZbspfZ2qb1Ndbt3al7ELScP5qnzdqJ143wufXISR9w6lo++WRrhhJIues3bpfZ2hdi+wd8TGQK9J1IyjdrbpfY2bax7IuF5/pM5/O3VL5i/soJD+rfjioP60Kl5eFf2kw3Ta94utbcrU9tn+nsiRUREpB5iMcdRgzsy6hd78vN9t+OtaQvZ5/oxXPOfaayqqI56PBERMUKLyIDk5+dHPYJERO3tUnubNte9MC+Hn+7bi1G/2JNDB7bn9jEz2PO60TwybhY1axINNKWkg17zdqm9XSG21yIyIPF4JtzWU6Kg9napvU317d62SQHXHzeQFy/alR6tSvjtc1M46MZ3ePPzBejtKmHSa94utbcrxPZaRAZk7c1DxR61t0vtbdrS7v07NuGJc0dy+ymDqUl4fvLAeE686wM+/W55egaUtNFr3i61tyvE9lpEioiIZAHnHAfu0I7//nx3/nh4P75aUMphN4/l4sc+ZvbS8qjHExGRLKJFZEDy8vKiHkEiovZ2qb1N29I9NyfGqTt1ZfQv9+TivXvy+mfz2fv60fzxpc9YVlaVwiklHfSat0vt7QqxvRaRAQnxD5ikhtrbpfY2paJ7o4JcLtu/N2N+uRdHD+7IfWNnsvt1o7hjzAwqqtekYEpJB73m7VJ7u0Jsr0VkQEpLS6MeQSKi9napvU2p7N6mcQHXHD2A//x0d4Z1bc5f/zONfa4fw7MTvyOR0MV3Mo1e83apvV0httciUkRExIDebRtx7xnDePTsETQvzuPSJyfxo3+9y7tfLY56NBERCYwWkQEJ8VC3pIba26X2NqWz+849WvLChbtw4wmDWFlRzSn3jOO0ez/ks7kr0/Yzpf70mrdL7e0Ksb0WkQEJ8Uakkhpqb5fa25Tu7rGY4/BBHXjzsj248pDtmTR7OYf86x1+9vjHfLtEV3KNkl7zdqm9XSG21yIyICGeLy2pofZ2qb1NDdU9P57DWbt15+1f7sX5e/Tg1am1V3K96vkpLFxZ0SAzyPfpNW+X2tsVYnstIgPivS6AYJXa26X2NjV09yZFuVx+YB/e/uVenDC8E499+C17XDea616bxorV1Q06i3V6zdul9naF2F6LyIDk5uZGPYJERO3tUnuboureunEBfzqiP29cugf79W3DLaNmsPvfRnH7mBmsrtJtQRqCXvN2qb1dIbbXIjIgIZ4vLamh9napvU1Rd+/aspibTtyRly/ZlcGdm3LNf6ax599H8ei4b6lek4h0tmwXdXuJjtrbFWJ7LSIDUl6uix1YpfZ2qb1NmdK9X/sm3Pfj4Txxzkg6NiviN89NZr8bxvDipLm6x2SaZEp7aXhqb1eI7bWIDEgioX/9tUrt7VJ7mzKt+4juLXj6vJ24+7Sh5MdzuPixjzn05ncZ8+WiIN/Lk8kyrb00HLW3K8T2WkQGJB6PRz2CRETt7VJ7mzKxu3OOffu24ZWf7sY/jh/IitXVnH7vh5x41weM/2Zp1ONljUxsLw1D7e0Ksb0WkQEpKCiIegSJiNrbpfY2ZXL3nJjjyB078tZle/J/h/dj+sIyjrn9fU6/90MmzV4e9XjBy+T2kl5qb1eI7bWIDEiI50tLaqi9XWpvUwjd8+IxTtupK29fvie/PqgPn363nMNvGctZD4zns7krox4vWCG0l/RQe7tCbK9FZEBCPF9aUkPt7VJ7m0LqXpQX59w9evDOr/bmsv22Y9zMJRx80ztc+MhEpi9cFfV4wQmpvaSW2tsVYnstIgMSiymXVWpvl9rbFGL3kvw4F+/Ti3cv35uL9+7J6C8Wsv8/3ubnT3zCN4vLoh4vGCG2l9RQe7tCbB/exIYVFRVFPYJERO3tUnubQu7epCiXy/bvzTu/2puzd+vOf6bMY58bxvCrpz/lu2XhnbLV0EJuL9tG7e0Ksb0WkQGpqKiIegSJiNrbpfY2ZUP35sV5/Prg7Xn78r04dWQXnvt4Dnv9fTRXPj+Z+SvC3790yYb2snXU3q4Q22sRGZCampqoR5CIqL1dam9TNnVv3aiAqw/rx5jL9+S4oZ14/MPZ7H7dKP7vxc9YtKoy6vEyTja1ly2j9naF2F6LyICEeL60pIba26X2NmVj93ZNCvnzkf0Z9Ys9OXxge+5/bya7/e0t/vTSZyxcFd6/wqdLNraX+lF7u0Js77z3Uc+QcYYOHerHjx8f9Rg/UFFREeR9ZGTbqb1dam+The5fLyrl5lHTef7jOeTmxDh5RBfO26M7rRtn935vjoX2smFqb1emtnfOTfDeD93QtvCWvYZVVuq0H6vU3i61t8lC9+6tSrjhuEG8edme/GhAex54/xt2+9sorv73VBastHtk0kJ72TC1tyvE9lpEBqS6ujrqESQiam+X2ttkqXu3lsVcf9xA3rpsDw4b2J6HPpi1bjFp8QI8ltrL96m9XSG21yIyIM65qEeQiKi9XWpvk8XuXVoUc92xAxl12Z4cOagDD38wi93/NorfvTCFeStWRz1eg7HYXmqpvV0httd7IjcgU98TWVlZSX5+ftRjSATU3i61t0ndYfbScm4dPZ2nxn9HzDmOG9aRC/bsSfumhVGPllZqb5fa25Wp7fWeyCwR4vnSkhpqb5fa26Tu0Kl5EX89agCjfrEnRw/pyBMfzWaP60bx2+cmM2d59h6ZVHu71N6uENtrERmQqqqqqEeQiKi9XWpvk7r/T+1isj+jf7kXxw3txJPjZ7PndaO4/OlJzFxcFvV4Kaf2dqm9XSG21yJSREREMl6HprX3mRzzy704cXhnnv9kLvtcP5qLH/uYafNXRj2eiIgpek/kBmTqeyIz9R4ykn5qb5fa26Tum7dwVQX3vDuTh9+fRVnVGvbdvg0X7d2TQZ2aRj3aNlF7u9Terkxtr/dEZokQD3VLaqi9XWpvk7pvXutGBfz6oO0Ze8Xe/GzfXnz0zVKOuGUsp9w9jg++XkKo/0iu9napvV0httciMiAh/gGT1FB7u9TeJnWvv6ZFefxs3+0Ye8Xe/PqgPkybv4oT7vyAY29/n1HTFga3mFR7u9TerhDbaxEpIiIiwSvJj3PuHj1491d78X+H92Peigp+fP9H/Ohf7/LK5HkkEmEtJkVEMpkWkQEpLi6OegSJiNrbpfY2qfvWK8jN4bSdujLqF3vyt2MGUF61hgsemch+/xjDMxO+o3pNIuoRN0nt7VJ7u0Jsr0VkQGpqaqIeQSKi9napvU3qvu3y4jGOG9qJNy7dg3+duCO5OTEue2oSe18/mofe/4aK6jVRj7hBam+X2tsVYnstIgMS4o1IJTXU3i61t0ndUycn5jh0YHv+89PduPu0obQsyeeqF6ayyzVvcdObX7G8PLPei6T2dqm9XSG2j0c9gIiIiEi6OefYt28b9tm+NR/OXMrtY2Zww+tfcvuYGZwwrDNn7daN9k0Lox5TRCQIWkQGJMTzpSU11N4utbdJ3dPHOceI7i0Y0b0F0+av5M4xX/Pg+9/w4PvfcNig9py7ew96t20U2Xxqb5fa2xVie53OGpBEIrMvBiDpo/Z2qb1N6t4w+rRtzA3HD2LM5Xtx6k5d+M/k+Rzwz7c58/6P+HDm0khuD6L2dqm9XSG21yIyIKtXr456BImI2tul9jape8Pq0LSQ3x/aj/eu2JtL99uOT2Yv57g73ufo297jtanzG/T2IGpvl9rbFWJ7LSJFREREgGbFeVyyTy/G/mpv/u/wfiwqreTchyaw3z/G8ORHs6msycwruoqINDQtIgNSVFQU9QgSEbW3S+1tUvdoFeYl7zV52Z7cdOKO5MdzuPyZT9n9b6O4fcwMVqyuTtvPVnu71N6uENvrwjoiIiIiGxDPiXHYwPYcOqAd705fzO1jZnDNf6bxrze/4rhhnThzl250ah7eX/5ERLaVjkQGpLy8POoRJCJqb5fa26TumcU5x269WvHIWSN5+ZJdOaBfWx56fxZ7XDeKCx6ZwMRvl6XsZ6m9XWpvV4jtdSRSREREpJ76tW/CDccP4vID+3D/e9/w6LhZvDJ5PkO6NOPs3bqxX9+25MRc1GOKiKSVjkQGpLBQN0G2Su3tUnub1D3ztW1SwBUH9eH9X+/D1Yf2ZeGqCs57eCJ7/X0094+dSVllzVZ9X7W3S+3tCrG9FpEBicWUyyq1t0vtbVL3cBTnxzljl26M/sVe3HbyYFqW5HH1i5+x01/f5Jr/TGP+ioot+n5qb5fa2xVi+/AmNqysrCzqESQiam+X2tuk7uHJiTkO6t+OZy/YhWfO35lde7XkzrdnsOu1b3HpE58wde6Ken0ftbdL7e0Ksb3eEykiIiKSQkO6NGNIlyHMXlrOvWNn8sRHs3n24zns3KMFP96lG3v3aa33TYpI0DLiSKRzrnS9jzXOuX8lt3V1zvn1tl9V57n5zrl7nXMrnXPznXOXrve993HOTXPOlTvnRjnnujT0/qVKfn5+1CNIRNTeLrW3Sd2zQ6fmRfz+0H68/+t9uOKgPnyzuIyzHxzPXn8fzd3vfM3Kih/eb1Lt7VJ7u0JsnxFHIr33JWt/75wrAeYDT633ZU299xt6l/rVQC+gC9AWGOWc+8x7/6pzriXwLHAW8CLwR+AJYGTKd6IBxOMZkUsioPZ2qb1N6p5dmhTmct4ePThr1268NnUB9783kz+9/Dn/eP1LjhnSkdN37kr3VrV/FVJ7u9TerhDbZ+LERwMLgXfq+fWnA2d475cBy5xzdwFnAK8CRwFTvfdPATjnrgYWO+f6eO+npXrwdCsrKwvy6k2y7dTeLrW3Sd2zUzwnxiED2nHIgHZM/m4F9703k8c+nM0D789iz96t+PEu3di+WZhXapRtp9e9XSG2z4jTWddzOvCg996v9/gs59x3zrn7kkcYcc41A9oBk+p83SSgX/L3/epu896XATPqbBcRERFpcP07NuGG4wYx9oq9+fm+2zF17kpOv/dDjrvvUx56/5utvkWIiEhDyKgjkcn3K+4B/KTOw4uBYcAnQAvgFuAR4ABg7WmwdS95tgJolPx9CbBovR9Td3vdn30OcA5Ax44dqaiooKqqiqqqKgCKi4upqamhsrJy3eeJRILVq1cDUFRUBEB5eTlQ+6+IsVhs3dWW8vPzicfj6z7Py8sjLy+P0tLSdZ/n5+dTWlqK957c3Fzy8/MpLy8nkUisO8y9dOlSEokEsViMoqIiKioqqKmpWfd5ZWUl1dXVOOcoKSmhsrJy3T6UlJRk3D4VFBSs+1z7tOl9Wrx4cdbtUzZ2SvU+1f08W/YpGzulY58WL16cdfuUjZ22dZ9c5WpOHtSM00e049WpC7lv7Ddc9cJU/vbqNI7esT1H7tCcDk0LgtqnbOzUEPtUVlaWdfuUjZ3SsU9lZWUZuU+b4n54wC86zrkrgf2893ts4mvaAvOAxtQugpcCbbz3C5Pbjwau9t73d87dCOR67y+o8/zJye3PbOxnDB061I8fPz4l+5RKFRUVFBQURD2GREDt7VJ7m9TdrtWrV/PZwgruGzuT/0yZj/eefbdvw4936cbI7s1xTld1zVZ63duVqe2dcxO890M3tC2jjkQCpwHXbOZr1q56Y977Zc65ecBA4PXk4wOBqcnfT6X29FgAnHPFQI8624NSWlqakX/AJP3U3i61t0nd7SorK2NIl5YM6dKMeStW8/AHs3h03Lf897MF9GnbiFN36sIRgzpQnJ9pf4WTbaXXvV0hts+Y90Q653YGOrDeVVmdcyOcc72dczHnXAvgJmC0937tKawPAlc655o55/oAZwP3J7c9B+zgnDvaOVcA/A74NMSL6oiIiIgt7ZoU8ssD+vD+r/fh2qP7E3OO3z43hZF/eZOr/z2V6QtLox5RRIzKpH/GOh141nu/ar3HuwN/AVoDK6k94nhine2/B24DZgGrgWu9968CeO8XJU9vvRl4GBgHnJDOnUinvLy8qEeQiKi9XWpvk7rbtaH2Bbk5HD+sM8cN7cTEb5fz0Pvf8Oi4b7n/vW/YpWcLTh3ZlX23b008J2OODchW0OverhDbZ9R7IjNFpr4nsrKyMsibkcq2U3u71N4mdbervu0Xl1byxEezeeSDWcxdUUH7JgWcNKIzxw/rTKtG+rMTIr3u7crU9pt6T6T+ySoga6+uJPaovV1qb5O621Xf9i1L8rlwr568ffle3HHqEHq0LuHv//2Sna95k0se+5jx3yxFBwrCote9XSG2z6TTWWUz9H8Gdqm9XWpvk7rbtaXt4zkxDujXlgP6tWXGolIe/mAWT0/4jn9Pmsv27Rpz6sguHLFje4ry9Fe+TKfXvV0htteRyIDk5uZGPYJERO3tUnub1N2ubWnfo1UJvz+0H+N+sw9/Pao/AL95bjIj/vImf3hxKjMWhXe0wxK97u0Ksb3+WSogmXiutDQMtbdL7W1Sd7tS0b4oL86JwztzwrBOTJi1jIc+mMXDH8zivrHfMLJ7c04a0YUD+rUhP56TgoklVfS6tyvE9lpEBqS8vDy4e8hIaqi9XWpvk7rblcr2zjmGdm3O0K7NufKQvjw1YTaPffgtlzz2Mc2L8zh2SEdOHN6Zri2LU/LzZNvodW9XiO21iAxIIpGIegSJiNrbpfY2qbtd6WrfqlE+F+zZk/N278G70xfz6Lhvufvdmdzx9tfs0rMFJw3vwn5925AX1zudoqLXvV0httciMiDxuHJZpfZ2qb1N6m5XutvHYo7dt2vF7tu1YuHKCp4cP5vHPpzNhY9OpGVJHscO7cSJwzrTuUVRWueQH9Lr3q4Q2+s+kRuQqfeJrKioCO5Qt6SG2tul9japu11RtF+T8Lz91SIeHfctb36+gISH3Xq15OQRndln+zbk5ujoZEPQ696uTG2/qftEhrfsNSzE86UlNdTeLrW3Sd3tiqJ9TsyxV+/W7NW7NfNXVPDER7N5/KNvOe/hibRqlM/xQztx/LBOdGquo5PppNe9XSG21yIyICGeLy2pofZ2qb1N6m5X1O3bNingp/v24qK9ezL6i4U8Ou5bbh09nVtGT2f3Xq04flgn9t1e751Mh6jbS3RCbK9FZEBiMf0PtlVqb5fa26TudmVK+5yYY5/t27DP9m2Ys3w1T3w0m6fGz+aCRybSojiPI3fswPHDOtGrTaOoR80amdJeGl6I7fWeyA3QeyIl06i9XWpvk7rblcnt17538smPZvPG5wuoXuPZsXNTThjWiUMGtKckX8cmtkUmt5f0ytT2ek9klsjUP2CSfmpvl9rbpO52ZXL7uu+dXFJayXMfz+Hxj2bzq2cm84cXP+NHA9px/LDODO7cFOdc1OMGJ5PbS3qF2F6LyIDU1NREPYJERO3tUnub1N2uUNq3KMnnrN2685NduzHx2+U8+dFsXvx0Lk+O/46erUs4fmgnjhzcgZYl+VGPGoxQ2kvqhdhei8iAhHi+tKSG2tul9japu12htXfOMaRLM4Z0acbvDu3Ly5/O44nxs/nzK59z7avT2Hf7Nhw/vBO792pFTkxHJzcltPaSOiG21yIyIEVFurS2VWpvl9rbpO52hdy+OD/OccM6cdywTkxfuIonPprNsxPn8OrU+bRrUsAxQzpy7JBOdG4R7j6mU8jtZduE2D68Za9hlZWVUY8gEVF7u9TeJnW3K1va92zdiN8e0pf3f70Pt58ymN5tG3HLqOnsft0ojrvjfZ78aDalleGdwpdO2dJetlyI7XUkMiDV1dVRjyARUXu71N4mdbcr29rnxWMcuEM7DtyhHfNWrOa5j+fw9ITvuPyZT/ndv6dw0A7tOHpwR3bu0YKY8dNds6291F+I7bWIDIiudGaX2tul9japu13Z3L5dk0Iu2LMn5+/Rg49nL+eZCd/x70lzee7jObRvUsCRgztw9OCOdG9VEvWokcjm9rJpIbbXfSI3IFPvE1lZWUl+vq5yZpHa26X2Nqm7XdbaV1Sv4Y3PF/D0hO94+8tFJDwM7tyUY4Z04pAB7WhSmBv1iA3GWnv5n0xtv6n7RGoRuQGZuohcuXIljRs3jnoMiYDa26X2Nqm7XZbbL1hZwfPJ012/WlhKXjzGAf3acvTgDuxm4Oqulttbl6ntN7WI1OmsAamqqop6BImI2tul9japu12W27dpXMC5e/TgnN27M3nOCp5Onu764qS5tG6Uz5GDO3DM4I70atMo6lHTwnJ760Jsr0WkiIiIiGQM5xwDOjZlQMem/PaQ7Xnr84U8M/E77n5nJneM+Zr+HZpwxI4dOHRgO1o3Koh6XBGTdDrrBmTq6awVFRUUFOh/LC1Se7vU3iZ1t0vtN27Rqkpe+GQOz38yhylzVhJzsGuvVhy5Y3v279uW4vywj42ovV2Z2l6ns2aJqqqqjPwDJumn9napvU3qbpfab1yrRvmctVt3ztqtO18tWMXzn8zh+Y/n8vMnJlGYO4UD+rXhiB07sGvPlsRzwrsVutrbFWJ7LSIDEuL50pIaam+X2tuk7napff30atOIXx7Qh8v26834Wct4/pM5vPzpPJ7/ZC4tS/I4dGB7jtyxA/07NAnm9glqb1eI7bWIFBEREZEgxWKO4d2aM7xbc35/aF9Gf7GI5z+ewyMffMt9Y7+he6tijhzUgcMHdaBzi6KoxxXJGnpP5AZk6nsiV69eTWFhYdRjSATU3i61t0nd7VL71FhRXs1/pszjuY/nMG7mUgCGdGnGETt24Ef929GsOC/iCX9I7e3K1PZ6T2SWqKmpiXoEiYja26X2Nqm7XWqfGk2KcjlheGdOGN6ZOctX88Inc3hu4hyuen4Kf/j3VHbfrhWHDWzPvn3bUJIhF+RRe7tCbJ8Zrxqpl8rKSho1ys57I8mmqb1dam+Tutul9qnXoWkhF+zZk/P36MFn81bywidzeWnSXN6atpCC3Bj79GnDoQPbsWfv1hTk5kQ2p9rbFWJ7LSJFREREJOs55+jXvgn92jfhigP7MPHbZfx70lxemTyPlyfPoyQ/zv792nDowPbs2rMluQFe4VWkoeg9kRug90RKplF7u9TeJnW3S+0bXs2aBO9/vYQXJ83lP1Pms6qihmZFuRzUvx2HDWzP8K7NicXSf4VXtbcrU9vrPZFZIpFIRD2CRETt7VJ7m9TdLrVvePGcGLv1asVuvVrxxyN24O0vF/PvSXN5buIcHh33LW0a5/OjAe05dGB7BnZM3y1D1N6uENtrERmQ1atXU1xcHPUYEgG1t0vtbVJ3u9Q+WvnxHPbr24b9+rahvKqGNz5fyIuT5vLQ+7O4592ZdG5exKED23HowPb0ads4pT9b7e0Ksb0WkSIiIiIi6ynKi3PYwPYcNrA9K1ZX89rU+bw4aS63jZ7BLaNm0LN1CQf3b8ePBrRjuzZhXRRFZFvpPZEbkKnviSwvL6eoSDfKtUjt7VJ7m9TdLrXPfItWVfKfKfN4+dN5fPjNUryndkG5Q1sOHtCO3m0abdUpr2pvV6a213siRURERERSoFWjfE7bqSun7dSVhSsreG3qfF6ePI+bR03nprem071VMYf0b8fB/dvRp+3WLShFMp0WkQHJ1H+lkPRTe7vU3iZ1t0vtw9K6cQGn7tSVU3fqyqJVlbw6dT6vfDqPW0ZN519vTad7y2IOTi4ot2+36QWl2tsVYnstIkVEREREtlGrRvmcOrILp47swqJVlbw2dT6vTJ7HraOnc/Oo6XRrWczB/dtycP929G3XWEcoJWhaRAYkE+8fIw1D7e1Se5vU3S61zw6tGuVzysgunDKyC4tL/7egXHtRnq4titYdoezXvnZBqfZ2hdhei8iAxGKxqEeQiKi9XWpvk7rbpfbZp2VJPieP6MLJI7qwpLSS16Yu4JXJ87jj7a+5dfQMOjUv5IC+bdmrVzN26lVELKYjlNaE+LrXIjIgZWVlQf5LhWw7tbdL7W1Sd7vUPru1KMnnpBGdOWlEZ5aWVfHfqfN5bep8Hnx/Fne/O5OWJfns368NB/Rry07dW5AXD29xIVsuxNe9FpEiIiIiIg2seXEeJwzvzAnDO7Oqopp/j/+a92aV8fzHc3h03Lc0Koiz7/ZtOKBfG3bfrhVFefpru2QO/WkMSH5+ftQjSETU3i61t0nd7VJ7mxoV5HLYwPacvGsjKqrX8O5Xi3l16nze+HwBz308h4LcGHts14oD+rVlnz5taFKUG/XIkkIhvu61iAxIPK5cVqm9XWpvk7rbpfZ2rW1fkJvDvn3bsG/fNtSsSfDhzKW8OnU+/526gNemLiAec+zUowUH9GvL/n3b0LpxQcSTy7YK8XXvvPdRz5Bxhg4d6sePHx/1GD+wePFiWrZsGfUYEgG1t0vtbVJ3u9Ters21TyQ8k75bzqtT5/PalPl8s6Qc52Bw52Yc2K8t+/VtQ9eWxQ04saRKpr7unXMTvPdDN7QtvGWviIiIiIgxsZhjx87N2LFzM644sA9fLijl1Sm1F+b58yuf8+dXPqdX65Lao5jbt2HHTk11pVdJGy0iA5KXlxf1CBIRtbdL7W1Sd7vU3q4tae+co3fbRvRu24if7tuL2UvLef2zBbzx+QLufPtrbhs9g5YleezTp/a02F17tqQwLyeN08u2CPF1r0VkQEL8AyapofZ2qb1N6m6X2tu1Le07NS/izF27ceau3VhRXs3oLxfy+me196N8YvxsCnJj7NqzFfv1bc3efdrQqlF4F3LJZiG+7rWIDEhpaSkFBXrztEVqb5fa26Tudqm9Xalq36Qol8MHdeDwQR2oqkkwbuYS3vhsAW98vpA3Pl+Ac5PZsVNT9u3bhv37tqFHqxKc02mvUQrxda9FpIiIiIhIFsqLx9itVyt269WKqw/zfDZvJW98VruY/NurX/C3V7+ga4si9t2+Dfv1bcOQLs2I58SiHlsCoEVkQEI81C2pofZ2qb1N6m6X2tuV7vbOOfq1b0K/9k346b69mLdide3Ryc8W8OD7s7j73Zk0Lcplr96t2atPa/bo1Ur3o2wgIb7utYgMSIg3IpXUUHu71N4mdbdL7e1q6PbtmhRy6sgunDqyC6WVNbz95SJe/2wBo79YyHMfzyEn5hjSuRl79WnNPtu3pldrnfaaLiG+7jPmeLVzbrRzrsI5V5r8+KLOtpOcc7Occ2XOueedc83rbGvunHsuuW2Wc+6k9b7vRp8bmtLS0qhHkIiovV1qb5O626X2dkXZviQ/zsH92/GP4wcx/sr9eOb8nTlvj+6sqqzh2lensf8/3mbXa0dx1fNTGDVtIRXVayKbNRuF+LrPtCORF3nv7677gHOuH3AHcAgwEbgTuBU4IfkltwBVQBtgEPCyc26S935qPZ4bFO991CNIRNTeLrW3Sd3tUnu7MqV9TswxpEszhnRpxi8P6MO8FasZNW0Rb01byNMTvuOhD2ZRkBtj5x4t2atPa/bu05oOTQujHjtomdJ+S2TaInJDTgZe9N6/DeCcuwr43DnXCEgARwM7eO9LgXedc/8GTgWu2NRzvferItiXbZKbq/PSrVJ7u9TeJnW3S+3tytT27ZoUctKIzpw0ojMV1WsYN3Mpo6Yt5K3kx1VA7zaN1i0oB3duqovzbKFMbb8pmbaI/Ktz7hrgC+C33vvRQD/gvbVf4L2f4ZyrArajdhFZ473/ss73mATskfz9pp47IZ07kg4hni8tqaH2dqm9Tepul9rbFUL7gtwc9tiuFXts14rfH9qXGYvK1i0o737na24fM4Mmhbnsvl0r9u7Tit17taJFSebvV9RCaL++TFpE/gr4jNpTU08AXnTODQJKgBXrfe0KoBGwBli5kW1s5rnf45w7BzgHoGPHjlRUVFBVVUVVVRUAxcXF1NTUUFlZue7zRCLB6tWrASgqKgKgvLwcgMLCQmKxGGVlZUDtH454PL7u87y8PPLy8tadA52Xl0d+fj6lpaV478nNzSU/P5/y8nISiQTxeJyKigry8vJIJBLEYjGKioqoqKigpqZm3eeVlZVUV1fjnKOkpITKysp1+1BSUpJx+1RQULDuc+3TxvdpyZIl6+4flC37lI2d0rFPc+fOpXHjxlm1T9nYKdX7tHDhQoqKirJqn7KxUzr2af78+TRu3Dir9ikbO6Vjn5YvX07z5s2D2qemMTh+UEtOG9GBeUuW88HM5bz3zUrGTl/Ei5Pm4oDt25awx3YtGdaxmL5ti8mL52T0PkXxZ2/lypW0a9cu4/ZpU1ymnoPrnHsVeBnYFxjrvf9bnW2rgD2pPRI51ntfVGfbZcCe3vtDnXMvbOy53vuNHokcOnSoHz9+fKp3aZstXryYli1bRj2GREDt7VJ7m9TdLrW3K5vaJxKeyXNW8PaXixjz5SImfruMhIdGBXF269WSPbZrxe7btaJdE72XEjK3vXNugvd+6Ia2ZdKRyPV5wAFTgYFrH3TOdQfygS+pXUTGnXO9vPdfJb9kYPI5bOa5wYnHMzmXpJPa26X2Nqm7XWpvVza1j8UcAzs1ZWCnply8Ty9WlFczdsZixnxRu6h8ZfJ8oPa9lHv0rj09dmjXZuTHcyKePBohts+II5HOuabACGAMUAMcT+2VVHcEcoH3+d8VVu8A4t77E5LPfZzaBedZ1F6d9RVg5zpXZ93oczcmU49EVlRUrDulUWxRe7vU3iZ1t0vt7bLS3nvPlwtKGfPlQsZ8uYiPZi6jak2Cwtwcdu7RYt2iskuL4qhHbTCZ2j6EI5G5wJ+APtS+z3EacMTaC+Y4584DHgFaAG8AP67z3AuAe4GFwBLgfO/9VIDkQnJTzw1KeXl5Rv4Bk/RTe7vU3iZ1t0vt7bLS3jlH77aN6N22Eefs3oOyyho++HoJY75cxOgvFvHmtIUAdG1RVHsRn96tGNm9BUV5mbJsSb0Q22dEDe/9ImDYJrY/Cjy6kW1LgSO25rmhSSQSUY8gEVF7u9TeJnW3S+3tstq+OD/OPtu3YZ/t2wDwzeIyxiTfS/nE+Nk88P4s8nJiDOnSjF17tWS3Xi3p174JOTEX8eSpE2L7jFhESv1s7ipJkr3U3i61t0nd7VJ7u9S+VteWxXRtWczpO3elonoN479ZxpgvF/LOV4u57rUvuO61L2halMsuPVqya6+W7NqzJZ2aF23+G2ewENtrERmQtZf2FXvU3i61t0nd7VJ7u9T+hwpyc2oXir1qr1y6aFUlY6cv5p2vFvPu9EW8PHkeAF1aFLFrz9qjlDv1aEmTwtwox95iIbbXIjIgmfqmW0k/tbdL7W1Sd7vU3i6137xWjfI5YscOHLFjB7z3zFhUWrug/Goxz388h0fGfUvMwYCOTdkteZRyx87NyItn9pG+ENtrERmQmpqaqEeQiKi9XWpvk7rbpfZ2qf2Wcc7Rs3UjerZuxI936UZVTYJPZi/n3a8W8c70xdwyajr/ems6RXk5jOzeYt2Ryp6tS3Aus95PGWJ7LSIDEuL50pIaam+X2tuk7napvV1qv23y4jGGd2vO8G7NuXT/3qxYXc37M5bw7vRFvPvVYt5KXvW1TeN8du7Rkp16tGDnHi3o2Cz6U0lDbK9FZEBCPF9aUkPt7VJ7m9TdLrW3S+1Tq0lhLgfu0JYDd2gLwOyl5bw7fTHvTl/M218u4rmP5wDQuXkRO/dowU7Jj9aNGv600hDbaxEZkMrKyuDOl5bUUHu71N4mdbdL7e1S+/Tq1LyIE4d35sThnUkkPF8uXMV705fw/tdLeHnyPB7/aDYAvVqXJBeVLRnZvTlNi/LSPluI7bWIDEh1dXXUI0hE1N4utbdJ3e1Se7vUvuHEYo4+bRvTp21jzty1G2sSnqlzV/DejCW8N2MJT47/jgfen4Vz0K9943Wnvw7r2pyS/NQvn0Jsr0VkQDLtTcDScNTeLrW3Sd3tUnu71D46OTHHgI5NGdCxKeft0eP/27v3GDvK847j38de29jY4AuYJIABUwoYwiW4NVFiigQqbShSE6oKCilQUUIRlapWDf0jSRGUP5pWCo1oE0gooAShBoVGkLYJTQLh4kAwNFBoSLANDm4gxTd8v+Gnf8xsODnsro+d9c7Oeb8f6Uh75p1z5tn97bv2s/POLDt27ebZVetZsmwNS5av5s7HX+G2R1YwMCE49ciZP1/++r55szhg0sRf+vhtzD4ys+kaxp2FCxfm0qVLmy7jHbZv386UKVOaLkMNMPtymX2ZzL1cZl8usx+/tu54i6dXrmPJ8tUsWb6G51atZ3dWN/M5Y94sFs2fzZnz53DakTP3qakcr9lHxNOZuXCoMc9Etsh4/QbT/mf25TL7Mpl7ucy+XGY/fk2dPJEPHncIHzzuEAA2bNvJUy+v5fFla3hixRr+4dsvcfO3XmLywAROO3ImZ86fw5nHzOb0ebOYOnnPTWUbs7eJbJEdO3Y0XYIaYvblMvsymXu5zL5cZt8eBx0wiXNOPIxzTjwMgDe37OSpV9byxIo1PPnyWm75zkt8NmHSxOC0I2ey6Jg5LJo/mzOOmsW0ye9sv9qYvU2kJEmSJO2jg6dN4twFh3Hugqqp3LBtJ0tfWcuTK9byxMtr+dx3l3PLQ8sYmBCccsTBLJo/h0XHzGbhfrpRz1jwmsghjNdrIrdt29a62/9qdJh9ucy+TOZeLrMvl9n3r03bd1VN5ctreXLFGp5b9Sa7dicTJwQnH34w5580l6vOPq7pMt/BayL7xI4dO/zhUiizL5fZl8ncy2X25TL7/jV9ygBnHz+Xs4+fC8CWHbt4euW66kzlijWsWru54Qr3nk1ki7RxvbRGh9mXy+zLZO7lMvtymX05pk0eYPFxh7L4uEMBWL16dcMV7b0JTRcgSZIkSWoPm8gWOfDAA5suQQ0x+3KZfZnMvVxmXy6zL1cbs7eJbJFdu3Y1XYIaYvblMvsymXu5zL5cZl+uNmZvE9ki27dvb7oENcTsy2X2ZTL3cpl9ucy+XG3M3iZSkiRJktQzm8gWaeN6aY0Osy+X2ZfJ3Mtl9uUy+3K1MXubyBbZvXt30yWoIWZfLrMvk7mXy+zLZfblamP2NpEtsnXr1qZLUEPMvlxmXyZzL5fZl8vsy9XG7G0iJUmSJEk9s4lskWnTpjVdghpi9uUy+zKZe7nMvlxmX642Zm8TKUmSJEnqmU1ki2zZsqXpEtQQsy+X2ZfJ3Mtl9uUy+3K1MXubSEmSJElSz2wiW2Tq1KlNl6CGmH25zL5M5l4usy+X2ZerjdnbRLbIhAnGVSqzL5fZl8ncy2X25TL7crUx+/ZVXLDNmzc3XYIaYvblMvsymXu5zL5cZl+uNmZvEylJkiRJ6plNZItMmTKl6RLUELMvl9mXydzLZfblMvtytTF7m8gWGRgYaLoENcTsy2X2ZTL3cpl9ucy+XG3M3iayRdq4Xlqjw+zLZfZlMvdymX25zL5cbczeJlKSJEmS1DObyBaZPHly0yWoIWZfLrMvk7mXy+zLZfblamP2NpEt0sZvMI0Osy+X2ZfJ3Mtl9uUy+3K1MfvIzKZrGHci4g1gZdN1DOEQYHXTRagRZl8usy+TuZfL7Mtl9uUar9kflZmHDjVgE9kiEbE0Mxc2XYfGntmXy+zLZO7lMvtymX252pi9y1klSZIkST2ziZQkSZIk9cwmsl1ua7oANcbsy2X2ZTL3cpl9ucy+XK3L3msiJUmSJEk980ykJEmSJKlnNpGSJEmSpJ7ZRI5DEXFtRCyNiO0RcWfX2DkR8WJEbImIhyLiqIbK1H4wXPYRcXREZERs6nh8ssFSNYoiYkpE3B4RKyNiY0T8ICJ+u2Pced+nRsreed//IuLLEfFaRGyIiB9HxJUdY877PjVc7s75ckTEcRGxLSK+3LHtD+p/CzZHxNciYnaTNe6J10SOQxHxEWA3cB4wNTMvr7cfAiwHrgQeAG4EFmfmmQ2VqlE2QvZHAy8DkzJzV2MFar+IiAOBvwTuBH4CfAi4B3gvsAnnfd/aQ/bgvO9rEXESsCwzt0fECcDDwPnASpz3fWuE3NfgnC9CRDwITAVWZual9ffEE1TfB89Q3WhnQmZe1GCZIxpougC9U2beBxARC4EjOoY+AryQmffW49cDqyPihMx8ccwL1agbIXv1sczcDFzfsenrEfEycAYwB+d939pD9k83UpTGTGa+0Pm0fhxLlb/zvk+NkPuaZirSWIqIi4D1wBLgV+rNlwAPZOYj9T6fBH4YETMyc2Mjhe6By1nb5STg2cEn9X8+ltfbVYaVEbEqIu6oz0yrD0XEYcCvAi/gvC9KV/aDnPd9LCL+KSK2AC8CrwH/jvO+7w2T+yDnfJ+KiIOAG4A/7xrqnvPLgR1U/x6MSzaR7TIdeLNr25vAjAZq0dhaDfwacBTVb6hnAHc3WpH2i4iYRJXtXfUZB+d9IYbI3nlfgMy8hirbxcB9wHac931vmNyd8/3vRuD2zFzVtb11c94msl02AQd1bTsIGJenuTV6MnNTZi7NzF2Z+TPgWuA3I2Lc/nDR3ouICcCXqH77eG292XlfgKGyd96XIzPfyszHqC5j+BOc90Xozt05398i4jTgXOAzQwy3bs57TWS7vABcNvikviHDsfzisieVYfCOWP4iqE9ERAC3A4cBH8rMnfWQ877PjZB9N+d9/xvg7fntvC/HYO7dnPP95WzgaOAn1Y99pgMTI2IB8A3g1MEdI2I+MAX48ZhX2SO/KcehiBiIiAOAiVTfXAdExADwr8DJEXFhPf4p4Dkvsu8fw2UfEYsi4viImBARc4DPAg9nZvfSB7XX54ATgQsyc2vHdud9/xsye+d9f4uIuRFxUURMj4iJEXEecDHwbZz3fWuk3J3zfe82ql8WnFY/Pg/8G9Ud+e8GLoiIxfUvjW4A7huvN9UBm8jx6hPAVuCvgEvrjz+RmW8AFwI3AeuARcC4vfWv9smQ2QPzqX5LtRF4nuraiYsbqlGjrP77bx+j+kfl9Y6/D3aJ876/jZQ9zvt+l1RLV1dRze2/B/4sM+933ve1YXPHOd/XMnNLZr4++KBawrotM9+o79h7NVUz+X9U10Je02C5e+TfiZQkSZIk9cwzkZIkSZKkntlESpIkSZJ6ZhMpSZIkSeqZTaQkSZIkqWc2kZIkSZKkntlESpIkSZJ6ZhMpSVIhImJKRPxPRLx7mPHLI+Kx/XTsUyJiyf54b0nS2LKJlCS1UkQ8HBFXNl3HLysiMiI2R8SmjsfH67HrI2JnvW19RCyJiPd3vPbsiNhdj2+MiB9FxBUjHO4q4JHMfG0falsdEfdExMx67JsRcV3HvofX+w+17V2Z+RywPiIu2LuvkCRpvLGJlCRpDETEwAjDp2bm9I7HpzvG/iUzpwOHAA8B93a99qf1+EHAdcAXImLBMMe5GvjSXpZ+av3+84FZwPX19keAszr2Owt4cYhtL2Xm6/Xzu4GP7eXxJUnjjE2kJKnVImJWRHw9It6IiHX1x0d0jD8cEX9Tn8XbFBEPRMSciLg7IjZExFMRcXTH/hkR10TES/XZvRsj4tj69Rsi4isRMblj/9+JiB90nCk8pWPslYi4LiKeAzbvoZEcUWbuomrCDo+IQ4cYz8z8GrAOeEcTGRHzqBrBJzu2zYmI++vP6/vAsSMcfwNwf8d7PwJ8ICIG/y+xGLgZWNi17ZGOt3kYOCcipuzxE5YkjVs2kZKktpsA3AEcBcwDtgK3dO1zEfBR4HCqRul79WtmAz8E/rpr//OAM4AzgY8DtwGXAkcCJwMXA0TE6cA/U51dmwPcCtzf1SRdDJwPzKwbwX1SN65/CKyhahS7xydExIeBmcB/D/EW7wVWdNXwj8A24N3AH9WP4Y4/C/hd4Il60/eBKcCp9fOzgP8ElnVt+3kTmZn/C+wEjh/2E5UkjXs2kZKkVsvMNZn51czckpkbgZuA3+ja7Y7MXJ6ZbwL/ASzPzG/VDdW9wOld+386Mzdk5gvA88CDmbmi4/WD+18F3JqZT2bmW5l5F7Cdqvkc9NnMfDUzt47waTxTn8kcfJzXMfb7EbGeqjn+Y+D3uhrB99Tjq6ma4Y9m5o+GOMZMYOPgk4iYCFwIfCozN2fm88Bdw9VWv/88qkaZzNxOdVbzrIiYDRycmSuARzu2LQC+2/V+G+taJEkttc/LaiRJGg8iYhrwGeC3qK7ZA5gRERMz8636+c86XrJ1iOfTu952T/u/q/74KOCyiPjTjvHJwHs6nr/aw6fxvsxcNszYVzLz0og4BPgq1RnShzvGf5qZRwz5yl+0DpjR8fxQqv8HdNa3crjaImIScA3waEQsyMxtvH1d5CvA4/X+jwFX1Ntezczu95wBrO+hXknSOOWZSElS2/0F1fLIRZl5EG/f2CXG4NivAjdl5syOx7TMvKdjnxyNA2Xmaqozn9cP9yc69uA54JiO6zLfAHZRLdEdNG+E4+8EvggcQ7WkF6omcjHV1/zRetvjwAfoWsoK1d1aqZrsoc6USpJawiZSktR2M6jODq6vl1B2X9+4P30BuDoiFkXlwIg4PyJm7PGV+6BepvpNqus09/a1q6iuV/z1+vlbwH1UTem0+o6ulw33+nr56xVUX+sV9ebvUS1NvZS6iczMdVQN6qV0NZFUy4y/Uy+FlSS1lE2kJKnNkuqOoFOprtl7AvjGmB08cynVdYq3UC0XXQZcvg9v9WzX34m8eYR9/w64KiLm7sNxbqW6wdCga6mW8r4O3El1s6Eha6P6/C4DPpyZawEyczPwNNXZxec7XvMoMJd3NpGXAJ/fh7olSeNIZI7KKhtJksZURDwD3FD/WQv1oL5r7H8B52Tma2N87FOobkL0/rE8riRp9NlESpJaJyJOApYCJwxx4xZJkrQfuZxVktQqEfG3wIPAdTaQkiSNPc9ESpIkSZJ65plISZIkSVLPbCIlSZIkST2ziZQkSZIk9cwmUpIkSZLUM5tISZIkSVLPbCIlSZIkST37f7VO+lWqJE2mAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.plot(jammer_erp_vector, crossover_range, '')\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Crossover Range', size=14)\n",
    "\n",
    "plt.xlabel('Jammer ERP (dBW)', size=12)\n",
    "\n",
    "plt.ylabel('Crossover Range (m)', size=12)\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
